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Finding the Third Proportional to 489,242.25 and 688,959

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Solution

The third proportional to 489,242.25 and 688,959 is: 970,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,242.25 : 688,959 = 688,959 : x
  2. Step 2: Convert to fraction form
    489,242.25/688,959 = 688,959/x
  3. Step 3: Cross multiply
    489,242.25x = 688,959 × 688,959
  4. Step 4: Simplify right side
    489,242.25x = 474,664,503,681
  5. Step 5: Solve for x
    x = 474,664,503,681/489,242.25
  6. Step 6: Final answer
    x = 970,203.42

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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.