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Finding the Third Proportional to 2,346.75 and 3,715.88

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Solution

The third proportional to 2,346.75 and 3,715.88 is: 5,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.75 : 3,715.88 = 3,715.88 : x
  2. Step 2: Convert to fraction form
    2,346.75/3,715.88 = 3,715.88/x
  3. Step 3: Cross multiply
    2,346.75x = 3,715.88 × 3,715.88
  4. Step 4: Simplify right side
    2,346.75x = 13,807,727.02
  5. Step 5: Solve for x
    x = 13,807,727.02/2,346.75
  6. Step 6: Final answer
    x = 5,883.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.