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Finding the Third Proportional to 243,036 and 356,346

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Solution

The third proportional to 243,036 and 356,346 is: 522,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,036 : 356,346 = 356,346 : x
  2. Step 2: Convert to fraction form
    243,036/356,346 = 356,346/x
  3. Step 3: Cross multiply
    243,036x = 356,346 × 356,346
  4. Step 4: Simplify right side
    243,036x = 126,982,471,716
  5. Step 5: Solve for x
    x = 126,982,471,716/243,036
  6. Step 6: Final answer
    x = 522,484.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.