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Finding the Third Proportional to 39,389 and 58,465

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Solution

The third proportional to 39,389 and 58,465 is: 86,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,389 : 58,465 = 58,465 : x
  2. Step 2: Convert to fraction form
    39,389/58,465 = 58,465/x
  3. Step 3: Cross multiply
    39,389x = 58,465 × 58,465
  4. Step 4: Simplify right side
    39,389x = 3,418,156,225
  5. Step 5: Solve for x
    x = 3,418,156,225/39,389
  6. Step 6: Final answer
    x = 86,779.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.