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Finding the Third Proportional to 70,065 and 143,403.75

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Solution

The third proportional to 70,065 and 143,403.75 is: 293,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,065 : 143,403.75 = 143,403.75 : x
  2. Step 2: Convert to fraction form
    70,065/143,403.75 = 143,403.75/x
  3. Step 3: Cross multiply
    70,065x = 143,403.75 × 143,403.75
  4. Step 4: Simplify right side
    70,065x = 20,564,635,514.06
  5. Step 5: Solve for x
    x = 20,564,635,514.06/70,065
  6. Step 6: Final answer
    x = 293,507.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.