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Finding the Third Proportional to 84,077.25 and 140,128.50

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Solution

The third proportional to 84,077.25 and 140,128.50 is: 233,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,077.25 : 140,128.50 = 140,128.50 : x
  2. Step 2: Convert to fraction form
    84,077.25/140,128.50 = 140,128.50/x
  3. Step 3: Cross multiply
    84,077.25x = 140,128.50 × 140,128.50
  4. Step 4: Simplify right side
    84,077.25x = 19,635,996,512.25
  5. Step 5: Solve for x
    x = 19,635,996,512.25/84,077.25
  6. Step 6: Final answer
    x = 233,547.08

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.