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Finding the Third Proportional to 321,129 and 759,444.75

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Solution

The third proportional to 321,129 and 759,444.75 is: 1,796,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,129 : 759,444.75 = 759,444.75 : x
  2. Step 2: Convert to fraction form
    321,129/759,444.75 = 759,444.75/x
  3. Step 3: Cross multiply
    321,129x = 759,444.75 × 759,444.75
  4. Step 4: Simplify right side
    321,129x = 576,756,328,302.56
  5. Step 5: Solve for x
    x = 576,756,328,302.56/321,129
  6. Step 6: Final answer
    x = 1,796,026.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.