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Finding the Third Proportional to 20,853 and 23,860.50

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Solution

The third proportional to 20,853 and 23,860.50 is: 27,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853 : 23,860.50 = 23,860.50 : x
  2. Step 2: Convert to fraction form
    20,853/23,860.50 = 23,860.50/x
  3. Step 3: Cross multiply
    20,853x = 23,860.50 × 23,860.50
  4. Step 4: Simplify right side
    20,853x = 569,323,460.25
  5. Step 5: Solve for x
    x = 569,323,460.25/20,853
  6. Step 6: Final answer
    x = 27,301.75

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.