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Finding the Third Proportional to 15,339 and 23,239.50

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Solution

The third proportional to 15,339 and 23,239.50 is: 35,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,339 : 23,239.50 = 23,239.50 : x
  2. Step 2: Convert to fraction form
    15,339/23,239.50 = 23,239.50/x
  3. Step 3: Cross multiply
    15,339x = 23,239.50 × 23,239.50
  4. Step 4: Simplify right side
    15,339x = 540,074,360.25
  5. Step 5: Solve for x
    x = 540,074,360.25/15,339
  6. Step 6: Final answer
    x = 35,209.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.