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Finding the Third Proportional to 159,462 and 243,423

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Solution

The third proportional to 159,462 and 243,423 is: 371,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462 : 243,423 = 243,423 : x
  2. Step 2: Convert to fraction form
    159,462/243,423 = 243,423/x
  3. Step 3: Cross multiply
    159,462x = 243,423 × 243,423
  4. Step 4: Simplify right side
    159,462x = 59,254,756,929
  5. Step 5: Solve for x
    x = 59,254,756,929/159,462
  6. Step 6: Final answer
    x = 371,591.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.