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Finding the Third Proportional to 305,098 and 472,408

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Solution

The third proportional to 305,098 and 472,408 is: 731,467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,098 : 472,408 = 472,408 : x
  2. Step 2: Convert to fraction form
    305,098/472,408 = 472,408/x
  3. Step 3: Cross multiply
    305,098x = 472,408 × 472,408
  4. Step 4: Simplify right side
    305,098x = 223,169,318,464
  5. Step 5: Solve for x
    x = 223,169,318,464/305,098
  6. Step 6: Final answer
    x = 731,467.65

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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.