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Finding the Third Proportional to 242,816 and 497,654

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Solution

The third proportional to 242,816 and 497,654 is: 1,019,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,816 : 497,654 = 497,654 : x
  2. Step 2: Convert to fraction form
    242,816/497,654 = 497,654/x
  3. Step 3: Cross multiply
    242,816x = 497,654 × 497,654
  4. Step 4: Simplify right side
    242,816x = 247,659,503,716
  5. Step 5: Solve for x
    x = 247,659,503,716/242,816
  6. Step 6: Final answer
    x = 1,019,947.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.