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Finding the Third Proportional to 157,218 and 243,630

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Solution

The third proportional to 157,218 and 243,630 is: 377,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,218 : 243,630 = 243,630 : x
  2. Step 2: Convert to fraction form
    157,218/243,630 = 243,630/x
  3. Step 3: Cross multiply
    157,218x = 243,630 × 243,630
  4. Step 4: Simplify right side
    157,218x = 59,355,576,900
  5. Step 5: Solve for x
    x = 59,355,576,900/157,218
  6. Step 6: Final answer
    x = 377,536.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.