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Finding the Third Proportional to 8,310 and 19,218.75

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Solution

The third proportional to 8,310 and 19,218.75 is: 44,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310 : 19,218.75 = 19,218.75 : x
  2. Step 2: Convert to fraction form
    8,310/19,218.75 = 19,218.75/x
  3. Step 3: Cross multiply
    8,310x = 19,218.75 × 19,218.75
  4. Step 4: Simplify right side
    8,310x = 369,360,351.56
  5. Step 5: Solve for x
    x = 369,360,351.56/8,310
  6. Step 6: Final answer
    x = 44,447.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.