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Finding the Third Proportional to 277,672 and 415,320

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Solution

The third proportional to 277,672 and 415,320 is: 621,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,672 : 415,320 = 415,320 : x
  2. Step 2: Convert to fraction form
    277,672/415,320 = 415,320/x
  3. Step 3: Cross multiply
    277,672x = 415,320 × 415,320
  4. Step 4: Simplify right side
    277,672x = 172,490,702,400
  5. Step 5: Solve for x
    x = 172,490,702,400/277,672
  6. Step 6: Final answer
    x = 621,203.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.