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Finding the Third Proportional to 272,304.28 and 419,938.17

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Solution

The third proportional to 272,304.28 and 419,938.17 is: 647,614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,304.28 : 419,938.17 = 419,938.17 : x
  2. Step 2: Convert to fraction form
    272,304.28/419,938.17 = 419,938.17/x
  3. Step 3: Cross multiply
    272,304.28x = 419,938.17 × 419,938.17
  4. Step 4: Simplify right side
    272,304.28x = 176,348,068,197.72
  5. Step 5: Solve for x
    x = 176,348,068,197.72/272,304.28
  6. Step 6: Final answer
    x = 647,614.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.