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Finding the Third Proportional to 236,451 and 357,129

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Solution

The third proportional to 236,451 and 357,129 is: 539,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,451 : 357,129 = 357,129 : x
  2. Step 2: Convert to fraction form
    236,451/357,129 = 357,129/x
  3. Step 3: Cross multiply
    236,451x = 357,129 × 357,129
  4. Step 4: Simplify right side
    236,451x = 127,541,122,641
  5. Step 5: Solve for x
    x = 127,541,122,641/236,451
  6. Step 6: Final answer
    x = 539,397.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.