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Finding the Third Proportional to 117,574 and 177,421

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Solution

The third proportional to 117,574 and 177,421 is: 267,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,574 : 177,421 = 177,421 : x
  2. Step 2: Convert to fraction form
    117,574/177,421 = 177,421/x
  3. Step 3: Cross multiply
    117,574x = 177,421 × 177,421
  4. Step 4: Simplify right side
    117,574x = 31,478,211,241
  5. Step 5: Solve for x
    x = 31,478,211,241/117,574
  6. Step 6: Final answer
    x = 267,731.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.