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Finding the Third Proportional to 142,278 and 329,390.25

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Solution

The third proportional to 142,278 and 329,390.25 is: 762,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278 : 329,390.25 = 329,390.25 : x
  2. Step 2: Convert to fraction form
    142,278/329,390.25 = 329,390.25/x
  3. Step 3: Cross multiply
    142,278x = 329,390.25 × 329,390.25
  4. Step 4: Simplify right side
    142,278x = 108,497,936,795.06
  5. Step 5: Solve for x
    x = 108,497,936,795.06/142,278
  6. Step 6: Final answer
    x = 762,577.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.