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Finding the Third Proportional to 39,000 and 84,478

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Solution

The third proportional to 39,000 and 84,478 is: 182,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000 : 84,478 = 84,478 : x
  2. Step 2: Convert to fraction form
    39,000/84,478 = 84,478/x
  3. Step 3: Cross multiply
    39,000x = 84,478 × 84,478
  4. Step 4: Simplify right side
    39,000x = 7,136,532,484
  5. Step 5: Solve for x
    x = 7,136,532,484/39,000
  6. Step 6: Final answer
    x = 182,988.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.