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Finding the Third Proportional to 74,475 and 159,610

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Solution

The third proportional to 74,475 and 159,610 is: 342,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 159,610 = 159,610 : x
  2. Step 2: Convert to fraction form
    74,475/159,610 = 159,610/x
  3. Step 3: Cross multiply
    74,475x = 159,610 × 159,610
  4. Step 4: Simplify right side
    74,475x = 25,475,352,100
  5. Step 5: Solve for x
    x = 25,475,352,100/74,475
  6. Step 6: Final answer
    x = 342,065.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.