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Finding the Third Proportional to 69,998 and 153,605

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Solution

The third proportional to 69,998 and 153,605 is: 337,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,998 : 153,605 = 153,605 : x
  2. Step 2: Convert to fraction form
    69,998/153,605 = 153,605/x
  3. Step 3: Cross multiply
    69,998x = 153,605 × 153,605
  4. Step 4: Simplify right side
    69,998x = 23,594,496,025
  5. Step 5: Solve for x
    x = 23,594,496,025/69,998
  6. Step 6: Final answer
    x = 337,073.86

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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.