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Finding the Third Proportional to 15,391 and 22,985

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Solution

The third proportional to 15,391 and 22,985 is: 34,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,391 : 22,985 = 22,985 : x
  2. Step 2: Convert to fraction form
    15,391/22,985 = 22,985/x
  3. Step 3: Cross multiply
    15,391x = 22,985 × 22,985
  4. Step 4: Simplify right side
    15,391x = 528,310,225
  5. Step 5: Solve for x
    x = 528,310,225/15,391
  6. Step 6: Final answer
    x = 34,325.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.