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Finding the Third Proportional to 688,403 and 967,709

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Solution

The third proportional to 688,403 and 967,709 is: 1,360,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,403 : 967,709 = 967,709 : x
  2. Step 2: Convert to fraction form
    688,403/967,709 = 967,709/x
  3. Step 3: Cross multiply
    688,403x = 967,709 × 967,709
  4. Step 4: Simplify right side
    688,403x = 936,460,708,681
  5. Step 5: Solve for x
    x = 936,460,708,681/688,403
  6. Step 6: Final answer
    x = 1,360,337.93

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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.