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Finding the Third Proportional to 121,356 and 252,414

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Solution

The third proportional to 121,356 and 252,414 is: 525,007.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,356 : 252,414 = 252,414 : x
  2. Step 2: Convert to fraction form
    121,356/252,414 = 252,414/x
  3. Step 3: Cross multiply
    121,356x = 252,414 × 252,414
  4. Step 4: Simplify right side
    121,356x = 63,712,827,396
  5. Step 5: Solve for x
    x = 63,712,827,396/121,356
  6. Step 6: Final answer
    x = 525,007.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.