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Finding the Third Proportional to 39,476 and 75,315

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Solution

The third proportional to 39,476 and 75,315 is: 143,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476 : 75,315 = 75,315 : x
  2. Step 2: Convert to fraction form
    39,476/75,315 = 75,315/x
  3. Step 3: Cross multiply
    39,476x = 75,315 × 75,315
  4. Step 4: Simplify right side
    39,476x = 5,672,349,225
  5. Step 5: Solve for x
    x = 5,672,349,225/39,476
  6. Step 6: Final answer
    x = 143,691.08

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.