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Finding the Third Proportional to 779,787 and 1,680,129

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Solution

The third proportional to 779,787 and 1,680,129 is: 3,620,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,787 : 1,680,129 = 1,680,129 : x
  2. Step 2: Convert to fraction form
    779,787/1,680,129 = 1,680,129/x
  3. Step 3: Cross multiply
    779,787x = 1,680,129 × 1,680,129
  4. Step 4: Simplify right side
    779,787x = 2,822,833,456,641
  5. Step 5: Solve for x
    x = 2,822,833,456,641/779,787
  6. Step 6: Final answer
    x = 3,620,005.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.