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Finding the Third Proportional to 103,685 and 218,438

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Solution

The third proportional to 103,685 and 218,438 is: 460,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 218,438 = 218,438 : x
  2. Step 2: Convert to fraction form
    103,685/218,438 = 218,438/x
  3. Step 3: Cross multiply
    103,685x = 218,438 × 218,438
  4. Step 4: Simplify right side
    103,685x = 47,715,159,844
  5. Step 5: Solve for x
    x = 47,715,159,844/103,685
  6. Step 6: Final answer
    x = 460,193.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.