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Finding the Third Proportional to 78,815 and 172,948

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Solution

The third proportional to 78,815 and 172,948 is: 379,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815 : 172,948 = 172,948 : x
  2. Step 2: Convert to fraction form
    78,815/172,948 = 172,948/x
  3. Step 3: Cross multiply
    78,815x = 172,948 × 172,948
  4. Step 4: Simplify right side
    78,815x = 29,911,010,704
  5. Step 5: Solve for x
    x = 29,911,010,704/78,815
  6. Step 6: Final answer
    x = 379,509.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.