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Finding the Third Proportional to 410,842 and 631,215

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Solution

The third proportional to 410,842 and 631,215 is: 969,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,842 : 631,215 = 631,215 : x
  2. Step 2: Convert to fraction form
    410,842/631,215 = 631,215/x
  3. Step 3: Cross multiply
    410,842x = 631,215 × 631,215
  4. Step 4: Simplify right side
    410,842x = 398,432,376,225
  5. Step 5: Solve for x
    x = 398,432,376,225/410,842
  6. Step 6: Final answer
    x = 969,794.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.