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Finding the Third Proportional to 623,691 and 868,959

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Solution

The third proportional to 623,691 and 868,959 is: 1,210,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,691 : 868,959 = 868,959 : x
  2. Step 2: Convert to fraction form
    623,691/868,959 = 868,959/x
  3. Step 3: Cross multiply
    623,691x = 868,959 × 868,959
  4. Step 4: Simplify right side
    623,691x = 755,089,743,681
  5. Step 5: Solve for x
    x = 755,089,743,681/623,691
  6. Step 6: Final answer
    x = 1,210,679.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.