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Finding the Third Proportional to 8,289,218.50 and 17,838,149.50

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Solution

The third proportional to 8,289,218.50 and 17,838,149.50 is: 38,387,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289,218.50 : 17,838,149.50 = 17,838,149.50 : x
  2. Step 2: Convert to fraction form
    8,289,218.50/17,838,149.50 = 17,838,149.50/x
  3. Step 3: Cross multiply
    8,289,218.50x = 17,838,149.50 × 17,838,149.50
  4. Step 4: Simplify right side
    8,289,218.50x = 318,199,577,584,350.25
  5. Step 5: Solve for x
    x = 318,199,577,584,350.25/8,289,218.50
  6. Step 6: Final answer
    x = 38,387,162.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.