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Finding the Third Proportional to 409,234 and 631,348

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Solution

The third proportional to 409,234 and 631,348 is: 974,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,234 : 631,348 = 631,348 : x
  2. Step 2: Convert to fraction form
    409,234/631,348 = 631,348/x
  3. Step 3: Cross multiply
    409,234x = 631,348 × 631,348
  4. Step 4: Simplify right side
    409,234x = 398,600,297,104
  5. Step 5: Solve for x
    x = 398,600,297,104/409,234
  6. Step 6: Final answer
    x = 974,015.59

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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.