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Finding the Third Proportional to 136,414.13 and 290,085.05

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Solution

The third proportional to 136,414.13 and 290,085.05 is: 616,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,414.13 : 290,085.05 = 290,085.05 : x
  2. Step 2: Convert to fraction form
    136,414.13/290,085.05 = 290,085.05/x
  3. Step 3: Cross multiply
    136,414.13x = 290,085.05 × 290,085.05
  4. Step 4: Simplify right side
    136,414.13x = 84,149,334,420.47
  5. Step 5: Solve for x
    x = 84,149,334,420.47/136,414.13
  6. Step 6: Final answer
    x = 616,866.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.