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Finding the Third Proportional to 242,571 and 497,142

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Solution

The third proportional to 242,571 and 497,142 is: 1,018,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571 : 497,142 = 497,142 : x
  2. Step 2: Convert to fraction form
    242,571/497,142 = 497,142/x
  3. Step 3: Cross multiply
    242,571x = 497,142 × 497,142
  4. Step 4: Simplify right side
    242,571x = 247,150,168,164
  5. Step 5: Solve for x
    x = 247,150,168,164/242,571
  6. Step 6: Final answer
    x = 1,018,877.64

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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.