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Finding the Third Proportional to 70,494 and 148,379

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Solution

The third proportional to 70,494 and 148,379 is: 312,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494 : 148,379 = 148,379 : x
  2. Step 2: Convert to fraction form
    70,494/148,379 = 148,379/x
  3. Step 3: Cross multiply
    70,494x = 148,379 × 148,379
  4. Step 4: Simplify right side
    70,494x = 22,016,327,641
  5. Step 5: Solve for x
    x = 22,016,327,641/70,494
  6. Step 6: Final answer
    x = 312,314.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.