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Finding the Third Proportional to 77,686.88 and 169,212.38

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Solution

The third proportional to 77,686.88 and 169,212.38 is: 368,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,686.88 : 169,212.38 = 169,212.38 : x
  2. Step 2: Convert to fraction form
    77,686.88/169,212.38 = 169,212.38/x
  3. Step 3: Cross multiply
    77,686.88x = 169,212.38 × 169,212.38
  4. Step 4: Simplify right side
    77,686.88x = 28,632,827,853.14
  5. Step 5: Solve for x
    x = 28,632,827,853.14/77,686.88
  6. Step 6: Final answer
    x = 368,567.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.