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Finding the Third Proportional to 277,456 and 429,364

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Solution

The third proportional to 277,456 and 429,364 is: 664,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,456 : 429,364 = 429,364 : x
  2. Step 2: Convert to fraction form
    277,456/429,364 = 429,364/x
  3. Step 3: Cross multiply
    277,456x = 429,364 × 429,364
  4. Step 4: Simplify right side
    277,456x = 184,353,444,496
  5. Step 5: Solve for x
    x = 184,353,444,496/277,456
  6. Step 6: Final answer
    x = 664,442.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.