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Finding the Third Proportional to 25,328 and 39,315

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Solution

The third proportional to 25,328 and 39,315 is: 61,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,328 : 39,315 = 39,315 : x
  2. Step 2: Convert to fraction form
    25,328/39,315 = 39,315/x
  3. Step 3: Cross multiply
    25,328x = 39,315 × 39,315
  4. Step 4: Simplify right side
    25,328x = 1,545,669,225
  5. Step 5: Solve for x
    x = 1,545,669,225/25,328
  6. Step 6: Final answer
    x = 61,026.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.