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Finding the Third Proportional to 310,950 and 475,438

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Solution

The third proportional to 310,950 and 475,438 is: 726,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,950 : 475,438 = 475,438 : x
  2. Step 2: Convert to fraction form
    310,950/475,438 = 475,438/x
  3. Step 3: Cross multiply
    310,950x = 475,438 × 475,438
  4. Step 4: Simplify right side
    310,950x = 226,041,291,844
  5. Step 5: Solve for x
    x = 226,041,291,844/310,950
  6. Step 6: Final answer
    x = 726,937.75

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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.