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Finding the Third Proportional to 140,973.75 and 309,862.13

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Solution

The third proportional to 140,973.75 and 309,862.13 is: 681,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,973.75 : 309,862.13 = 309,862.13 : x
  2. Step 2: Convert to fraction form
    140,973.75/309,862.13 = 309,862.13/x
  3. Step 3: Cross multiply
    140,973.75x = 309,862.13 × 309,862.13
  4. Step 4: Simplify right side
    140,973.75x = 96,014,536,509.52
  5. Step 5: Solve for x
    x = 96,014,536,509.52/140,973.75
  6. Step 6: Final answer
    x = 681,080.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.