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Finding the Third Proportional to 587,702 and 872,912

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Solution

The third proportional to 587,702 and 872,912 is: 1,296,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,702 : 872,912 = 872,912 : x
  2. Step 2: Convert to fraction form
    587,702/872,912 = 872,912/x
  3. Step 3: Cross multiply
    587,702x = 872,912 × 872,912
  4. Step 4: Simplify right side
    587,702x = 761,975,359,744
  5. Step 5: Solve for x
    x = 761,975,359,744/587,702
  6. Step 6: Final answer
    x = 1,296,533.55

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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.