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Finding the Third Proportional to 9,230,449.50 and 14,329,489.50

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Solution

The third proportional to 9,230,449.50 and 14,329,489.50 is: 22,245,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230,449.50 : 14,329,489.50 = 14,329,489.50 : x
  2. Step 2: Convert to fraction form
    9,230,449.50/14,329,489.50 = 14,329,489.50/x
  3. Step 3: Cross multiply
    9,230,449.50x = 14,329,489.50 × 14,329,489.50
  4. Step 4: Simplify right side
    9,230,449.50x = 205,334,269,330,610.25
  5. Step 5: Solve for x
    x = 205,334,269,330,610.25/9,230,449.50
  6. Step 6: Final answer
    x = 22,245,316.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.