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Finding the Third Proportional to 105,805.13 and 143,535.38

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Solution

The third proportional to 105,805.13 and 143,535.38 is: 194,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805.13 : 143,535.38 = 143,535.38 : x
  2. Step 2: Convert to fraction form
    105,805.13/143,535.38 = 143,535.38/x
  3. Step 3: Cross multiply
    105,805.13x = 143,535.38 × 143,535.38
  4. Step 4: Simplify right side
    105,805.13x = 20,602,403,876.39
  5. Step 5: Solve for x
    x = 20,602,403,876.39/105,805.13
  6. Step 6: Final answer
    x = 194,720.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.