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Finding the Third Proportional to 310,467 and 492,432

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Solution

The third proportional to 310,467 and 492,432 is: 781,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,467 : 492,432 = 492,432 : x
  2. Step 2: Convert to fraction form
    310,467/492,432 = 492,432/x
  3. Step 3: Cross multiply
    310,467x = 492,432 × 492,432
  4. Step 4: Simplify right side
    310,467x = 242,489,274,624
  5. Step 5: Solve for x
    x = 242,489,274,624/310,467
  6. Step 6: Final answer
    x = 781,046.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.