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Finding the Third Proportional to 8,385.40 and 18,955.90

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Solution

The third proportional to 8,385.40 and 18,955.90 is: 42,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.40 : 18,955.90 = 18,955.90 : x
  2. Step 2: Convert to fraction form
    8,385.40/18,955.90 = 18,955.90/x
  3. Step 3: Cross multiply
    8,385.40x = 18,955.90 × 18,955.90
  4. Step 4: Simplify right side
    8,385.40x = 359,326,085.57
  5. Step 5: Solve for x
    x = 359,326,085.57/8,385.40
  6. Step 6: Final answer
    x = 42,851.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.