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Finding the Third Proportional to 310,376 and 474,580

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Solution

The third proportional to 310,376 and 474,580 is: 725,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,376 : 474,580 = 474,580 : x
  2. Step 2: Convert to fraction form
    310,376/474,580 = 474,580/x
  3. Step 3: Cross multiply
    310,376x = 474,580 × 474,580
  4. Step 4: Simplify right side
    310,376x = 225,226,176,400
  5. Step 5: Solve for x
    x = 225,226,176,400/310,376
  6. Step 6: Final answer
    x = 725,655.90

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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.