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Finding the Third Proportional to 45,045 and 70,061

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Solution

The third proportional to 45,045 and 70,061 is: 108,969.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,045 : 70,061 = 70,061 : x
  2. Step 2: Convert to fraction form
    45,045/70,061 = 70,061/x
  3. Step 3: Cross multiply
    45,045x = 70,061 × 70,061
  4. Step 4: Simplify right side
    45,045x = 4,908,543,721
  5. Step 5: Solve for x
    x = 4,908,543,721/45,045
  6. Step 6: Final answer
    x = 108,969.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.