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Finding the Third Proportional to 410,136 and 861,744

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Solution

The third proportional to 410,136 and 861,744 is: 1,810,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,136 : 861,744 = 861,744 : x
  2. Step 2: Convert to fraction form
    410,136/861,744 = 861,744/x
  3. Step 3: Cross multiply
    410,136x = 861,744 × 861,744
  4. Step 4: Simplify right side
    410,136x = 742,602,721,536
  5. Step 5: Solve for x
    x = 742,602,721,536/410,136
  6. Step 6: Final answer
    x = 1,810,625.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.