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Finding the Third Proportional to 298,679.06 and 447,931.13

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Solution

The third proportional to 298,679.06 and 447,931.13 is: 671,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,679.06 : 447,931.13 = 447,931.13 : x
  2. Step 2: Convert to fraction form
    298,679.06/447,931.13 = 447,931.13/x
  3. Step 3: Cross multiply
    298,679.06x = 447,931.13 × 447,931.13
  4. Step 4: Simplify right side
    298,679.06x = 200,642,292,743.77
  5. Step 5: Solve for x
    x = 200,642,292,743.77/298,679.06
  6. Step 6: Final answer
    x = 671,765.51

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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.