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Finding the Third Proportional to 347,456.25 and 518,145.75

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Solution

The third proportional to 347,456.25 and 518,145.75 is: 772,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,456.25 : 518,145.75 = 518,145.75 : x
  2. Step 2: Convert to fraction form
    347,456.25/518,145.75 = 518,145.75/x
  3. Step 3: Cross multiply
    347,456.25x = 518,145.75 × 518,145.75
  4. Step 4: Simplify right side
    347,456.25x = 268,475,018,243.06
  5. Step 5: Solve for x
    x = 268,475,018,243.06/347,456.25
  6. Step 6: Final answer
    x = 772,687.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.