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Finding the Third Proportional to 345,463.50 and 747,513.75

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Solution

The third proportional to 345,463.50 and 747,513.75 is: 1,617,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,463.50 : 747,513.75 = 747,513.75 : x
  2. Step 2: Convert to fraction form
    345,463.50/747,513.75 = 747,513.75/x
  3. Step 3: Cross multiply
    345,463.50x = 747,513.75 × 747,513.75
  4. Step 4: Simplify right side
    345,463.50x = 558,776,806,439.06
  5. Step 5: Solve for x
    x = 558,776,806,439.06/345,463.50
  6. Step 6: Final answer
    x = 1,617,469.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.