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Finding the Third Proportional to 409,789.13 and 610,480.55

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Solution

The third proportional to 409,789.13 and 610,480.55 is: 909,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,789.13 : 610,480.55 = 610,480.55 : x
  2. Step 2: Convert to fraction form
    409,789.13/610,480.55 = 610,480.55/x
  3. Step 3: Cross multiply
    409,789.13x = 610,480.55 × 610,480.55
  4. Step 4: Simplify right side
    409,789.13x = 372,686,498,112.80
  5. Step 5: Solve for x
    x = 372,686,498,112.80/409,789.13
  6. Step 6: Final answer
    x = 909,459.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.