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Finding the Third Proportional to 688,444 and 991,552

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Solution

The third proportional to 688,444 and 991,552 is: 1,428,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,444 : 991,552 = 991,552 : x
  2. Step 2: Convert to fraction form
    688,444/991,552 = 991,552/x
  3. Step 3: Cross multiply
    688,444x = 991,552 × 991,552
  4. Step 4: Simplify right side
    688,444x = 983,175,368,704
  5. Step 5: Solve for x
    x = 983,175,368,704/688,444
  6. Step 6: Final answer
    x = 1,428,112.34

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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.