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Finding the Third Proportional to 418,257 and 631,310

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Solution

The third proportional to 418,257 and 631,310 is: 952,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,257 : 631,310 = 631,310 : x
  2. Step 2: Convert to fraction form
    418,257/631,310 = 631,310/x
  3. Step 3: Cross multiply
    418,257x = 631,310 × 631,310
  4. Step 4: Simplify right side
    418,257x = 398,552,316,100
  5. Step 5: Solve for x
    x = 398,552,316,100/418,257
  6. Step 6: Final answer
    x = 952,888.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.