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Finding the Third Proportional to 872,605.50 and 1,280,177.25

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Solution

The third proportional to 872,605.50 and 1,280,177.25 is: 1,878,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,605.50 : 1,280,177.25 = 1,280,177.25 : x
  2. Step 2: Convert to fraction form
    872,605.50/1,280,177.25 = 1,280,177.25/x
  3. Step 3: Cross multiply
    872,605.50x = 1,280,177.25 × 1,280,177.25
  4. Step 4: Simplify right side
    872,605.50x = 1,638,853,791,417.56
  5. Step 5: Solve for x
    x = 1,638,853,791,417.56/872,605.50
  6. Step 6: Final answer
    x = 1,878,115.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.