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Finding the Third Proportional to 68,757.75 and 141,798.38

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Solution

The third proportional to 68,757.75 and 141,798.38 is: 292,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,757.75 : 141,798.38 = 141,798.38 : x
  2. Step 2: Convert to fraction form
    68,757.75/141,798.38 = 141,798.38/x
  3. Step 3: Cross multiply
    68,757.75x = 141,798.38 × 141,798.38
  4. Step 4: Simplify right side
    68,757.75x = 20,106,779,152.64
  5. Step 5: Solve for x
    x = 20,106,779,152.64/68,757.75
  6. Step 6: Final answer
    x = 292,429.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.