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Finding the Third Proportional to 402,681.38 and 867,077.16

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Solution

The third proportional to 402,681.38 and 867,077.16 is: 1,867,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,681.38 : 867,077.16 = 867,077.16 : x
  2. Step 2: Convert to fraction form
    402,681.38/867,077.16 = 867,077.16/x
  3. Step 3: Cross multiply
    402,681.38x = 867,077.16 × 867,077.16
  4. Step 4: Simplify right side
    402,681.38x = 751,822,794,890.59
  5. Step 5: Solve for x
    x = 751,822,794,890.59/402,681.38
  6. Step 6: Final answer
    x = 1,867,041.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.