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Finding the Third Proportional to 78,458 and 172,752

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Solution

The third proportional to 78,458 and 172,752 is: 380,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458 : 172,752 = 172,752 : x
  2. Step 2: Convert to fraction form
    78,458/172,752 = 172,752/x
  3. Step 3: Cross multiply
    78,458x = 172,752 × 172,752
  4. Step 4: Simplify right side
    78,458x = 29,843,253,504
  5. Step 5: Solve for x
    x = 29,843,253,504/78,458
  6. Step 6: Final answer
    x = 380,372.35

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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.