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Finding the Third Proportional to 138,870 and 302,829

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Solution

The third proportional to 138,870 and 302,829 is: 660,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,870 : 302,829 = 302,829 : x
  2. Step 2: Convert to fraction form
    138,870/302,829 = 302,829/x
  3. Step 3: Cross multiply
    138,870x = 302,829 × 302,829
  4. Step 4: Simplify right side
    138,870x = 91,705,403,241
  5. Step 5: Solve for x
    x = 91,705,403,241/138,870
  6. Step 6: Final answer
    x = 660,368.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.