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Finding the Third Proportional to 305,888 and 472,464

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Solution

The third proportional to 305,888 and 472,464 is: 729,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888 : 472,464 = 472,464 : x
  2. Step 2: Convert to fraction form
    305,888/472,464 = 472,464/x
  3. Step 3: Cross multiply
    305,888x = 472,464 × 472,464
  4. Step 4: Simplify right side
    305,888x = 223,222,231,296
  5. Step 5: Solve for x
    x = 223,222,231,296/305,888
  6. Step 6: Final answer
    x = 729,751.51

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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.