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Finding the Third Proportional to 347,712 and 511,680

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Solution

The third proportional to 347,712 and 511,680 is: 752,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,712 : 511,680 = 511,680 : x
  2. Step 2: Convert to fraction form
    347,712/511,680 = 511,680/x
  3. Step 3: Cross multiply
    347,712x = 511,680 × 511,680
  4. Step 4: Simplify right side
    347,712x = 261,816,422,400
  5. Step 5: Solve for x
    x = 261,816,422,400/347,712
  6. Step 6: Final answer
    x = 752,969.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.