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Finding the Third Proportional to 413,253.89 and 638,304.70

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Solution

The third proportional to 413,253.89 and 638,304.70 is: 985,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,253.89 : 638,304.70 = 638,304.70 : x
  2. Step 2: Convert to fraction form
    413,253.89/638,304.70 = 638,304.70/x
  3. Step 3: Cross multiply
    413,253.89x = 638,304.70 × 638,304.70
  4. Step 4: Simplify right side
    413,253.89x = 407,432,889,356.42
  5. Step 5: Solve for x
    x = 407,432,889,356.42/413,253.89
  6. Step 6: Final answer
    x = 985,914.22

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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.