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Finding the Third Proportional to 115,630 and 252,428

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Solution

The third proportional to 115,630 and 252,428 is: 551,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,630 : 252,428 = 252,428 : x
  2. Step 2: Convert to fraction form
    115,630/252,428 = 252,428/x
  3. Step 3: Cross multiply
    115,630x = 252,428 × 252,428
  4. Step 4: Simplify right side
    115,630x = 63,719,895,184
  5. Step 5: Solve for x
    x = 63,719,895,184/115,630
  6. Step 6: Final answer
    x = 551,067.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.