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Finding the Third Proportional to 140,988 and 304,449.75

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Solution

The third proportional to 140,988 and 304,449.75 is: 657,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,988 : 304,449.75 = 304,449.75 : x
  2. Step 2: Convert to fraction form
    140,988/304,449.75 = 304,449.75/x
  3. Step 3: Cross multiply
    140,988x = 304,449.75 × 304,449.75
  4. Step 4: Simplify right side
    140,988x = 92,689,650,275.06
  5. Step 5: Solve for x
    x = 92,689,650,275.06/140,988
  6. Step 6: Final answer
    x = 657,429.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.