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Finding the Third Proportional to 77,757 and 170,001.75

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Solution

The third proportional to 77,757 and 170,001.75 is: 371,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,757 : 170,001.75 = 170,001.75 : x
  2. Step 2: Convert to fraction form
    77,757/170,001.75 = 170,001.75/x
  3. Step 3: Cross multiply
    77,757x = 170,001.75 × 170,001.75
  4. Step 4: Simplify right side
    77,757x = 28,900,595,003.06
  5. Step 5: Solve for x
    x = 28,900,595,003.06/77,757
  6. Step 6: Final answer
    x = 371,678.37

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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.