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Finding the Third Proportional to 587,706 and 872,918

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Solution

The third proportional to 587,706 and 872,918 is: 1,296,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,706 : 872,918 = 872,918 : x
  2. Step 2: Convert to fraction form
    587,706/872,918 = 872,918/x
  3. Step 3: Cross multiply
    587,706x = 872,918 × 872,918
  4. Step 4: Simplify right side
    587,706x = 761,985,834,724
  5. Step 5: Solve for x
    x = 761,985,834,724/587,706
  6. Step 6: Final answer
    x = 1,296,542.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.