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Finding the Third Proportional to 310,308.38 and 474,487.88

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Solution

The third proportional to 310,308.38 and 474,487.88 is: 725,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,308.38 : 474,487.88 = 474,487.88 : x
  2. Step 2: Convert to fraction form
    310,308.38/474,487.88 = 474,487.88/x
  3. Step 3: Cross multiply
    310,308.38x = 474,487.88 × 474,487.88
  4. Step 4: Simplify right side
    310,308.38x = 225,138,743,522.02
  5. Step 5: Solve for x
    x = 225,138,743,522.02/310,308.38
  6. Step 6: Final answer
    x = 725,532.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.