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Finding the Third Proportional to 78,607.13 and 169,666.31

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Solution

The third proportional to 78,607.13 and 169,666.31 is: 366,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,607.13 : 169,666.31 = 169,666.31 : x
  2. Step 2: Convert to fraction form
    78,607.13/169,666.31 = 169,666.31/x
  3. Step 3: Cross multiply
    78,607.13x = 169,666.31 × 169,666.31
  4. Step 4: Simplify right side
    78,607.13x = 28,786,657,597.35
  5. Step 5: Solve for x
    x = 28,786,657,597.35/78,607.13
  6. Step 6: Final answer
    x = 366,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.