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Finding the Third Proportional to 515,414 and 780,251

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Solution

The third proportional to 515,414 and 780,251 is: 1,181,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,414 : 780,251 = 780,251 : x
  2. Step 2: Convert to fraction form
    515,414/780,251 = 780,251/x
  3. Step 3: Cross multiply
    515,414x = 780,251 × 780,251
  4. Step 4: Simplify right side
    515,414x = 608,791,623,001
  5. Step 5: Solve for x
    x = 608,791,623,001/515,414
  6. Step 6: Final answer
    x = 1,181,170.13

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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.