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Finding the Third Proportional to 115,061 and 155,455

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Solution

The third proportional to 115,061 and 155,455 is: 210,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,061 : 155,455 = 155,455 : x
  2. Step 2: Convert to fraction form
    115,061/155,455 = 155,455/x
  3. Step 3: Cross multiply
    115,061x = 155,455 × 155,455
  4. Step 4: Simplify right side
    115,061x = 24,166,257,025
  5. Step 5: Solve for x
    x = 24,166,257,025/115,061
  6. Step 6: Final answer
    x = 210,029.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.