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Finding the Third Proportional to 435,493.13 and 640,426.50

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Solution

The third proportional to 435,493.13 and 640,426.50 is: 941,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,493.13 : 640,426.50 = 640,426.50 : x
  2. Step 2: Convert to fraction form
    435,493.13/640,426.50 = 640,426.50/x
  3. Step 3: Cross multiply
    435,493.13x = 640,426.50 × 640,426.50
  4. Step 4: Simplify right side
    435,493.13x = 410,146,101,902.25
  5. Step 5: Solve for x
    x = 410,146,101,902.25/435,493.13
  6. Step 6: Final answer
    x = 941,796.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.