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Finding the Third Proportional to 70,290 and 107,523

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Solution

The third proportional to 70,290 and 107,523 is: 164,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,290 : 107,523 = 107,523 : x
  2. Step 2: Convert to fraction form
    70,290/107,523 = 107,523/x
  3. Step 3: Cross multiply
    70,290x = 107,523 × 107,523
  4. Step 4: Simplify right side
    70,290x = 11,561,195,529
  5. Step 5: Solve for x
    x = 11,561,195,529/70,290
  6. Step 6: Final answer
    x = 164,478.53

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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.