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Finding the Third Proportional to 298,729.13 and 448,417.69

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Solution

The third proportional to 298,729.13 and 448,417.69 is: 673,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,729.13 : 448,417.69 = 448,417.69 : x
  2. Step 2: Convert to fraction form
    298,729.13/448,417.69 = 448,417.69/x
  3. Step 3: Cross multiply
    298,729.13x = 448,417.69 × 448,417.69
  4. Step 4: Simplify right side
    298,729.13x = 201,078,422,462.85
  5. Step 5: Solve for x
    x = 201,078,422,462.85/298,729.13
  6. Step 6: Final answer
    x = 673,112.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.