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Finding the Third Proportional to 356,544 and 469,368

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Solution

The third proportional to 356,544 and 469,368 is: 617,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,544 : 469,368 = 469,368 : x
  2. Step 2: Convert to fraction form
    356,544/469,368 = 469,368/x
  3. Step 3: Cross multiply
    356,544x = 469,368 × 469,368
  4. Step 4: Simplify right side
    356,544x = 220,306,319,424
  5. Step 5: Solve for x
    x = 220,306,319,424/356,544
  6. Step 6: Final answer
    x = 617,893.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.