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Finding the Third Proportional to 138,187.69 and 292,982.06

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Solution

The third proportional to 138,187.69 and 292,982.06 is: 621,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,187.69 : 292,982.06 = 292,982.06 : x
  2. Step 2: Convert to fraction form
    138,187.69/292,982.06 = 292,982.06/x
  3. Step 3: Cross multiply
    138,187.69x = 292,982.06 × 292,982.06
  4. Step 4: Simplify right side
    138,187.69x = 85,838,488,946.75
  5. Step 5: Solve for x
    x = 85,838,488,946.75/138,187.69
  6. Step 6: Final answer
    x = 621,173.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.