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Finding the Third Proportional to 142,053.75 and 315,637.88

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Solution

The third proportional to 142,053.75 and 315,637.88 is: 701,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,053.75 : 315,637.88 = 315,637.88 : x
  2. Step 2: Convert to fraction form
    142,053.75/315,637.88 = 315,637.88/x
  3. Step 3: Cross multiply
    142,053.75x = 315,637.88 × 315,637.88
  4. Step 4: Simplify right side
    142,053.75x = 99,627,268,134.52
  5. Step 5: Solve for x
    x = 99,627,268,134.52/142,053.75
  6. Step 6: Final answer
    x = 701,335.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.