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Finding the Third Proportional to 11,853 and 18,292.50

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Solution

The third proportional to 11,853 and 18,292.50 is: 28,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 18,292.50 = 18,292.50 : x
  2. Step 2: Convert to fraction form
    11,853/18,292.50 = 18,292.50/x
  3. Step 3: Cross multiply
    11,853x = 18,292.50 × 18,292.50
  4. Step 4: Simplify right side
    11,853x = 334,615,556.25
  5. Step 5: Solve for x
    x = 334,615,556.25/11,853
  6. Step 6: Final answer
    x = 28,230.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.