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Finding the Third Proportional to 305,972 and 472,620

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Solution

The third proportional to 305,972 and 472,620 is: 730,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,972 : 472,620 = 472,620 : x
  2. Step 2: Convert to fraction form
    305,972/472,620 = 472,620/x
  3. Step 3: Cross multiply
    305,972x = 472,620 × 472,620
  4. Step 4: Simplify right side
    305,972x = 223,369,664,400
  5. Step 5: Solve for x
    x = 223,369,664,400/305,972
  6. Step 6: Final answer
    x = 730,033.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.