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Finding the Third Proportional to 305,824 and 472,370

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Solution

The third proportional to 305,824 and 472,370 is: 729,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,824 : 472,370 = 472,370 : x
  2. Step 2: Convert to fraction form
    305,824/472,370 = 472,370/x
  3. Step 3: Cross multiply
    305,824x = 472,370 × 472,370
  4. Step 4: Simplify right side
    305,824x = 223,133,416,900
  5. Step 5: Solve for x
    x = 223,133,416,900/305,824
  6. Step 6: Final answer
    x = 729,613.82

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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.