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Finding the Third Proportional to 103,138 and 218,478

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Solution

The third proportional to 103,138 and 218,478 is: 462,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138 : 218,478 = 218,478 : x
  2. Step 2: Convert to fraction form
    103,138/218,478 = 218,478/x
  3. Step 3: Cross multiply
    103,138x = 218,478 × 218,478
  4. Step 4: Simplify right side
    103,138x = 47,732,636,484
  5. Step 5: Solve for x
    x = 47,732,636,484/103,138
  6. Step 6: Final answer
    x = 462,803.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.