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Finding the Third Proportional to 78,072 and 170,952

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Solution

The third proportional to 78,072 and 170,952 is: 374,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,072 : 170,952 = 170,952 : x
  2. Step 2: Convert to fraction form
    78,072/170,952 = 170,952/x
  3. Step 3: Cross multiply
    78,072x = 170,952 × 170,952
  4. Step 4: Simplify right side
    78,072x = 29,224,586,304
  5. Step 5: Solve for x
    x = 29,224,586,304/78,072
  6. Step 6: Final answer
    x = 374,328.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.