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Finding the Third Proportional to 115,138 and 247,772

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Solution

The third proportional to 115,138 and 247,772 is: 533,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,138 : 247,772 = 247,772 : x
  2. Step 2: Convert to fraction form
    115,138/247,772 = 247,772/x
  3. Step 3: Cross multiply
    115,138x = 247,772 × 247,772
  4. Step 4: Simplify right side
    115,138x = 61,390,963,984
  5. Step 5: Solve for x
    x = 61,390,963,984/115,138
  6. Step 6: Final answer
    x = 533,194.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.