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Finding the Third Proportional to 78,478 and 167,730

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Solution

The third proportional to 78,478 and 167,730 is: 358,487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478 : 167,730 = 167,730 : x
  2. Step 2: Convert to fraction form
    78,478/167,730 = 167,730/x
  3. Step 3: Cross multiply
    78,478x = 167,730 × 167,730
  4. Step 4: Simplify right side
    78,478x = 28,133,352,900
  5. Step 5: Solve for x
    x = 28,133,352,900/78,478
  6. Step 6: Final answer
    x = 358,487.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.