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Finding the Third Proportional to 409,238 and 631,353

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Solution

The third proportional to 409,238 and 631,353 is: 974,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,238 : 631,353 = 631,353 : x
  2. Step 2: Convert to fraction form
    409,238/631,353 = 631,353/x
  3. Step 3: Cross multiply
    409,238x = 631,353 × 631,353
  4. Step 4: Simplify right side
    409,238x = 398,606,610,609
  5. Step 5: Solve for x
    x = 398,606,610,609/409,238
  6. Step 6: Final answer
    x = 974,021.50

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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.