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Finding the Third Proportional to 70,569 and 170,673.75

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Solution

The third proportional to 70,569 and 170,673.75 is: 412,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,569 : 170,673.75 = 170,673.75 : x
  2. Step 2: Convert to fraction form
    70,569/170,673.75 = 170,673.75/x
  3. Step 3: Cross multiply
    70,569x = 170,673.75 × 170,673.75
  4. Step 4: Simplify right side
    70,569x = 29,129,528,939.06
  5. Step 5: Solve for x
    x = 29,129,528,939.06/70,569
  6. Step 6: Final answer
    x = 412,780.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.