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Finding the Third Proportional to 77,187.66 and 168,955.31

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Solution

The third proportional to 77,187.66 and 168,955.31 is: 369,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,187.66 : 168,955.31 = 168,955.31 : x
  2. Step 2: Convert to fraction form
    77,187.66/168,955.31 = 168,955.31/x
  3. Step 3: Cross multiply
    77,187.66x = 168,955.31 × 168,955.31
  4. Step 4: Simplify right side
    77,187.66x = 28,545,897,621.97
  5. Step 5: Solve for x
    x = 28,545,897,621.97/77,187.66
  6. Step 6: Final answer
    x = 369,824.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.