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Finding the Third Proportional to 315,298.20 and 489,546.28

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Solution

The third proportional to 315,298.20 and 489,546.28 is: 760,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,298.20 : 489,546.28 = 489,546.28 : x
  2. Step 2: Convert to fraction form
    315,298.20/489,546.28 = 489,546.28/x
  3. Step 3: Cross multiply
    315,298.20x = 489,546.28 × 489,546.28
  4. Step 4: Simplify right side
    315,298.20x = 239,655,561,485.70
  5. Step 5: Solve for x
    x = 239,655,561,485.70/315,298.20
  6. Step 6: Final answer
    x = 760,091.76

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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.