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Finding the Third Proportional to 218,108 and 319,964

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Solution

The third proportional to 218,108 and 319,964 is: 469,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,108 : 319,964 = 319,964 : x
  2. Step 2: Convert to fraction form
    218,108/319,964 = 319,964/x
  3. Step 3: Cross multiply
    218,108x = 319,964 × 319,964
  4. Step 4: Simplify right side
    218,108x = 102,376,961,296
  5. Step 5: Solve for x
    x = 102,376,961,296/218,108
  6. Step 6: Final answer
    x = 469,386.55

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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.