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Finding the Third Proportional to 314,487.50 and 690,753.50

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Solution

The third proportional to 314,487.50 and 690,753.50 is: 1,517,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,487.50 : 690,753.50 = 690,753.50 : x
  2. Step 2: Convert to fraction form
    314,487.50/690,753.50 = 690,753.50/x
  3. Step 3: Cross multiply
    314,487.50x = 690,753.50 × 690,753.50
  4. Step 4: Simplify right side
    314,487.50x = 477,140,397,762.25
  5. Step 5: Solve for x
    x = 477,140,397,762.25/314,487.50
  6. Step 6: Final answer
    x = 1,517,199.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.