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Finding the Third Proportional to 45,981 and 70,307

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Solution

The third proportional to 45,981 and 70,307 is: 107,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 70,307 = 70,307 : x
  2. Step 2: Convert to fraction form
    45,981/70,307 = 70,307/x
  3. Step 3: Cross multiply
    45,981x = 70,307 × 70,307
  4. Step 4: Simplify right side
    45,981x = 4,943,074,249
  5. Step 5: Solve for x
    x = 4,943,074,249/45,981
  6. Step 6: Final answer
    x = 107,502.54

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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.