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Finding the Third Proportional to 8,478 and 19,642.50

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Solution

The third proportional to 8,478 and 19,642.50 is: 45,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478 : 19,642.50 = 19,642.50 : x
  2. Step 2: Convert to fraction form
    8,478/19,642.50 = 19,642.50/x
  3. Step 3: Cross multiply
    8,478x = 19,642.50 × 19,642.50
  4. Step 4: Simplify right side
    8,478x = 385,827,806.25
  5. Step 5: Solve for x
    x = 385,827,806.25/8,478
  6. Step 6: Final answer
    x = 45,509.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.