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Finding the Third Proportional to 177,261 and 258,275

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Solution

The third proportional to 177,261 and 258,275 is: 376,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,261 : 258,275 = 258,275 : x
  2. Step 2: Convert to fraction form
    177,261/258,275 = 258,275/x
  3. Step 3: Cross multiply
    177,261x = 258,275 × 258,275
  4. Step 4: Simplify right side
    177,261x = 66,705,975,625
  5. Step 5: Solve for x
    x = 66,705,975,625/177,261
  6. Step 6: Final answer
    x = 376,315.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.