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Finding the Third Proportional to 78,778 and 172,862

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Solution

The third proportional to 78,778 and 172,862 is: 379,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778 : 172,862 = 172,862 : x
  2. Step 2: Convert to fraction form
    78,778/172,862 = 172,862/x
  3. Step 3: Cross multiply
    78,778x = 172,862 × 172,862
  4. Step 4: Simplify right side
    78,778x = 29,881,271,044
  5. Step 5: Solve for x
    x = 29,881,271,044/78,778
  6. Step 6: Final answer
    x = 379,309.85

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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.