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Finding the Third Proportional to 277,452 and 429,358

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Solution

The third proportional to 277,452 and 429,358 is: 664,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,452 : 429,358 = 429,358 : x
  2. Step 2: Convert to fraction form
    277,452/429,358 = 429,358/x
  3. Step 3: Cross multiply
    277,452x = 429,358 × 429,358
  4. Step 4: Simplify right side
    277,452x = 184,348,292,164
  5. Step 5: Solve for x
    x = 184,348,292,164/277,452
  6. Step 6: Final answer
    x = 664,433.10

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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.