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Finding the Third Proportional to 688,428 and 991,530

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Solution

The third proportional to 688,428 and 991,530 is: 1,428,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,428 : 991,530 = 991,530 : x
  2. Step 2: Convert to fraction form
    688,428/991,530 = 991,530/x
  3. Step 3: Cross multiply
    688,428x = 991,530 × 991,530
  4. Step 4: Simplify right side
    688,428x = 983,131,740,900
  5. Step 5: Solve for x
    x = 983,131,740,900/688,428
  6. Step 6: Final answer
    x = 1,428,082.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.