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Finding the Third Proportional to 688,431 and 991,534

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Solution

The third proportional to 688,431 and 991,534 is: 1,428,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,431 : 991,534 = 991,534 : x
  2. Step 2: Convert to fraction form
    688,431/991,534 = 991,534/x
  3. Step 3: Cross multiply
    688,431x = 991,534 × 991,534
  4. Step 4: Simplify right side
    688,431x = 983,139,673,156
  5. Step 5: Solve for x
    x = 983,139,673,156/688,431
  6. Step 6: Final answer
    x = 1,428,087.45

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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.