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Finding the Third Proportional to 78,166.27 and 168,390.14

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Solution

The third proportional to 78,166.27 and 168,390.14 is: 362,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.27 : 168,390.14 = 168,390.14 : x
  2. Step 2: Convert to fraction form
    78,166.27/168,390.14 = 168,390.14/x
  3. Step 3: Cross multiply
    78,166.27x = 168,390.14 × 168,390.14
  4. Step 4: Simplify right side
    78,166.27x = 28,355,239,459.71
  5. Step 5: Solve for x
    x = 28,355,239,459.71/78,166.27
  6. Step 6: Final answer
    x = 362,755.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.