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Finding the Third Proportional to 615,640.50 and 864,685.13

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Solution

The third proportional to 615,640.50 and 864,685.13 is: 1,214,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,640.50 : 864,685.13 = 864,685.13 : x
  2. Step 2: Convert to fraction form
    615,640.50/864,685.13 = 864,685.13/x
  3. Step 3: Cross multiply
    615,640.50x = 864,685.13 × 864,685.13
  4. Step 4: Simplify right side
    615,640.50x = 747,680,365,396.27
  5. Step 5: Solve for x
    x = 747,680,365,396.27/615,640.50
  6. Step 6: Final answer
    x = 1,214,475.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.