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Finding the Third Proportional to 68,569 and 103,585

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Solution

The third proportional to 68,569 and 103,585 is: 156,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569 : 103,585 = 103,585 : x
  2. Step 2: Convert to fraction form
    68,569/103,585 = 103,585/x
  3. Step 3: Cross multiply
    68,569x = 103,585 × 103,585
  4. Step 4: Simplify right side
    68,569x = 10,729,852,225
  5. Step 5: Solve for x
    x = 10,729,852,225/68,569
  6. Step 6: Final answer
    x = 156,482.55

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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.