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Finding the Third Proportional to 78,465 and 172,764

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Solution

The third proportional to 78,465 and 172,764 is: 380,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465 : 172,764 = 172,764 : x
  2. Step 2: Convert to fraction form
    78,465/172,764 = 172,764/x
  3. Step 3: Cross multiply
    78,465x = 172,764 × 172,764
  4. Step 4: Simplify right side
    78,465x = 29,847,399,696
  5. Step 5: Solve for x
    x = 29,847,399,696/78,465
  6. Step 6: Final answer
    x = 380,391.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.