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Finding the Third Proportional to 45,018 and 83,611

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Solution

The third proportional to 45,018 and 83,611 is: 155,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 83,611 = 83,611 : x
  2. Step 2: Convert to fraction form
    45,018/83,611 = 83,611/x
  3. Step 3: Cross multiply
    45,018x = 83,611 × 83,611
  4. Step 4: Simplify right side
    45,018x = 6,990,799,321
  5. Step 5: Solve for x
    x = 6,990,799,321/45,018
  6. Step 6: Final answer
    x = 155,288.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.