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Finding the Third Proportional to 68,600 and 103,630

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Solution

The third proportional to 68,600 and 103,630 is: 156,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,600 : 103,630 = 103,630 : x
  2. Step 2: Convert to fraction form
    68,600/103,630 = 103,630/x
  3. Step 3: Cross multiply
    68,600x = 103,630 × 103,630
  4. Step 4: Simplify right side
    68,600x = 10,739,176,900
  5. Step 5: Solve for x
    x = 10,739,176,900/68,600
  6. Step 6: Final answer
    x = 156,547.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.