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Finding the Third Proportional to 353,099 and 784,657.50

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Solution

The third proportional to 353,099 and 784,657.50 is: 1,743,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,099 : 784,657.50 = 784,657.50 : x
  2. Step 2: Convert to fraction form
    353,099/784,657.50 = 784,657.50/x
  3. Step 3: Cross multiply
    353,099x = 784,657.50 × 784,657.50
  4. Step 4: Simplify right side
    353,099x = 615,687,392,306.25
  5. Step 5: Solve for x
    x = 615,687,392,306.25/353,099
  6. Step 6: Final answer
    x = 1,743,667.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.