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Finding the Third Proportional to 218,101 and 319,951

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Solution

The third proportional to 218,101 and 319,951 is: 469,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,101 : 319,951 = 319,951 : x
  2. Step 2: Convert to fraction form
    218,101/319,951 = 319,951/x
  3. Step 3: Cross multiply
    218,101x = 319,951 × 319,951
  4. Step 4: Simplify right side
    218,101x = 102,368,642,401
  5. Step 5: Solve for x
    x = 102,368,642,401/218,101
  6. Step 6: Final answer
    x = 469,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.