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Finding the Third Proportional to 305,802 and 472,338

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Solution

The third proportional to 305,802 and 472,338 is: 729,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,802 : 472,338 = 472,338 : x
  2. Step 2: Convert to fraction form
    305,802/472,338 = 472,338/x
  3. Step 3: Cross multiply
    305,802x = 472,338 × 472,338
  4. Step 4: Simplify right side
    305,802x = 223,103,186,244
  5. Step 5: Solve for x
    x = 223,103,186,244/305,802
  6. Step 6: Final answer
    x = 729,567.45

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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.