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Finding the Third Proportional to 310,632 and 492,636

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Solution

The third proportional to 310,632 and 492,636 is: 781,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632 : 492,636 = 492,636 : x
  2. Step 2: Convert to fraction form
    310,632/492,636 = 492,636/x
  3. Step 3: Cross multiply
    310,632x = 492,636 × 492,636
  4. Step 4: Simplify right side
    310,632x = 242,690,228,496
  5. Step 5: Solve for x
    x = 242,690,228,496/310,632
  6. Step 6: Final answer
    x = 781,278.90

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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.