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Finding the Third Proportional to 76,902 and 103,473

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Solution

The third proportional to 76,902 and 103,473 is: 139,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902 : 103,473 = 103,473 : x
  2. Step 2: Convert to fraction form
    76,902/103,473 = 103,473/x
  3. Step 3: Cross multiply
    76,902x = 103,473 × 103,473
  4. Step 4: Simplify right side
    76,902x = 10,706,661,729
  5. Step 5: Solve for x
    x = 10,706,661,729/76,902
  6. Step 6: Final answer
    x = 139,224.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.