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Finding the Third Proportional to 321,853.78 and 486,923.91

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Solution

The third proportional to 321,853.78 and 486,923.91 is: 736,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,853.78 : 486,923.91 = 486,923.91 : x
  2. Step 2: Convert to fraction form
    321,853.78/486,923.91 = 486,923.91/x
  3. Step 3: Cross multiply
    321,853.78x = 486,923.91 × 486,923.91
  4. Step 4: Simplify right side
    321,853.78x = 237,094,890,477.76
  5. Step 5: Solve for x
    x = 237,094,890,477.76/321,853.78
  6. Step 6: Final answer
    x = 736,654.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.