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Finding the Third Proportional to 19,431 and 29,145.75

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Solution

The third proportional to 19,431 and 29,145.75 is: 43,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431 : 29,145.75 = 29,145.75 : x
  2. Step 2: Convert to fraction form
    19,431/29,145.75 = 29,145.75/x
  3. Step 3: Cross multiply
    19,431x = 29,145.75 × 29,145.75
  4. Step 4: Simplify right side
    19,431x = 849,474,743.06
  5. Step 5: Solve for x
    x = 849,474,743.06/19,431
  6. Step 6: Final answer
    x = 43,717.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.