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Finding the Third Proportional to 331,882 and 780,129

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Solution

The third proportional to 331,882 and 780,129 is: 1,833,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,882 : 780,129 = 780,129 : x
  2. Step 2: Convert to fraction form
    331,882/780,129 = 780,129/x
  3. Step 3: Cross multiply
    331,882x = 780,129 × 780,129
  4. Step 4: Simplify right side
    331,882x = 608,601,256,641
  5. Step 5: Solve for x
    x = 608,601,256,641/331,882
  6. Step 6: Final answer
    x = 1,833,788.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.