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Finding the Third Proportional to 8,420.50 and 17,687

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Solution

The third proportional to 8,420.50 and 17,687 is: 37,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.50 : 17,687 = 17,687 : x
  2. Step 2: Convert to fraction form
    8,420.50/17,687 = 17,687/x
  3. Step 3: Cross multiply
    8,420.50x = 17,687 × 17,687
  4. Step 4: Simplify right side
    8,420.50x = 312,829,969
  5. Step 5: Solve for x
    x = 312,829,969/8,420.50
  6. Step 6: Final answer
    x = 37,151.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.