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Finding the Third Proportional to 315,840,613.50 and 490,984,679.25

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Solution

The third proportional to 315,840,613.50 and 490,984,679.25 is: 763,251,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,840,613.50 : 490,984,679.25 = 490,984,679.25 : x
  2. Step 2: Convert to fraction form
    315,840,613.50/490,984,679.25 = 490,984,679.25/x
  3. Step 3: Cross multiply
    315,840,613.50x = 490,984,679.25 × 490,984,679.25
  4. Step 4: Simplify right side
    315,840,613.50x = 241,065,955,258,225,376
  5. Step 5: Solve for x
    x = 241,065,955,258,225,376/315,840,613.50
  6. Step 6: Final answer
    x = 763,251,921.87

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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.