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Finding the Third Proportional to 412,976 and 631,312

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Solution

The third proportional to 412,976 and 631,312 is: 965,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,976 : 631,312 = 631,312 : x
  2. Step 2: Convert to fraction form
    412,976/631,312 = 631,312/x
  3. Step 3: Cross multiply
    412,976x = 631,312 × 631,312
  4. Step 4: Simplify right side
    412,976x = 398,554,841,344
  5. Step 5: Solve for x
    x = 398,554,841,344/412,976
  6. Step 6: Final answer
    x = 965,079.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.