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Finding the Third Proportional to 277,173 and 418,257

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Solution

The third proportional to 277,173 and 418,257 is: 631,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,173 : 418,257 = 418,257 : x
  2. Step 2: Convert to fraction form
    277,173/418,257 = 418,257/x
  3. Step 3: Cross multiply
    277,173x = 418,257 × 418,257
  4. Step 4: Simplify right side
    277,173x = 174,938,918,049
  5. Step 5: Solve for x
    x = 174,938,918,049/277,173
  6. Step 6: Final answer
    x = 631,154.25

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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.