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Finding the Third Proportional to 305,469 and 472,514

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Solution

The third proportional to 305,469 and 472,514 is: 730,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,469 : 472,514 = 472,514 : x
  2. Step 2: Convert to fraction form
    305,469/472,514 = 472,514/x
  3. Step 3: Cross multiply
    305,469x = 472,514 × 472,514
  4. Step 4: Simplify right side
    305,469x = 223,269,480,196
  5. Step 5: Solve for x
    x = 223,269,480,196/305,469
  6. Step 6: Final answer
    x = 730,907.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.