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Finding the Third Proportional to 688,428 and 967,744

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Solution

The third proportional to 688,428 and 967,744 is: 1,360,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,428 : 967,744 = 967,744 : x
  2. Step 2: Convert to fraction form
    688,428/967,744 = 967,744/x
  3. Step 3: Cross multiply
    688,428x = 967,744 × 967,744
  4. Step 4: Simplify right side
    688,428x = 936,528,449,536
  5. Step 5: Solve for x
    x = 936,528,449,536/688,428
  6. Step 6: Final answer
    x = 1,360,386.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.