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Finding the Third Proportional to 252,428 and 552,374

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Solution

The third proportional to 252,428 and 552,374 is: 1,208,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,428 : 552,374 = 552,374 : x
  2. Step 2: Convert to fraction form
    252,428/552,374 = 552,374/x
  3. Step 3: Cross multiply
    252,428x = 552,374 × 552,374
  4. Step 4: Simplify right side
    252,428x = 305,117,035,876
  5. Step 5: Solve for x
    x = 305,117,035,876/252,428
  6. Step 6: Final answer
    x = 1,208,728.97

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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.