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Finding the Third Proportional to 688,430 and 991,533

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Solution

The third proportional to 688,430 and 991,533 is: 1,428,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,430 : 991,533 = 991,533 : x
  2. Step 2: Convert to fraction form
    688,430/991,533 = 991,533/x
  3. Step 3: Cross multiply
    688,430x = 991,533 × 991,533
  4. Step 4: Simplify right side
    688,430x = 983,137,690,089
  5. Step 5: Solve for x
    x = 983,137,690,089/688,430
  6. Step 6: Final answer
    x = 1,428,086.65

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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.