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Finding the Third Proportional to 68,502 and 100,539

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Solution

The third proportional to 68,502 and 100,539 is: 147,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,502 : 100,539 = 100,539 : x
  2. Step 2: Convert to fraction form
    68,502/100,539 = 100,539/x
  3. Step 3: Cross multiply
    68,502x = 100,539 × 100,539
  4. Step 4: Simplify right side
    68,502x = 10,108,090,521
  5. Step 5: Solve for x
    x = 10,108,090,521/68,502
  6. Step 6: Final answer
    x = 147,559.06

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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.