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Finding the Third Proportional to 115,515 and 177,447

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Solution

The third proportional to 115,515 and 177,447 is: 272,583.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,515 : 177,447 = 177,447 : x
  2. Step 2: Convert to fraction form
    115,515/177,447 = 177,447/x
  3. Step 3: Cross multiply
    115,515x = 177,447 × 177,447
  4. Step 4: Simplify right side
    115,515x = 31,487,437,809
  5. Step 5: Solve for x
    x = 31,487,437,809/115,515
  6. Step 6: Final answer
    x = 272,583.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.