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Finding the Third Proportional to 39,678 and 58,415

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Solution

The third proportional to 39,678 and 58,415 is: 86,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,678 : 58,415 = 58,415 : x
  2. Step 2: Convert to fraction form
    39,678/58,415 = 58,415/x
  3. Step 3: Cross multiply
    39,678x = 58,415 × 58,415
  4. Step 4: Simplify right side
    39,678x = 3,412,312,225
  5. Step 5: Solve for x
    x = 3,412,312,225/39,678
  6. Step 6: Final answer
    x = 86,000.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.