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Finding the Third Proportional to 304,850 and 411,228

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Solution

The third proportional to 304,850 and 411,228 is: 554,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,850 : 411,228 = 411,228 : x
  2. Step 2: Convert to fraction form
    304,850/411,228 = 411,228/x
  3. Step 3: Cross multiply
    304,850x = 411,228 × 411,228
  4. Step 4: Simplify right side
    304,850x = 169,108,467,984
  5. Step 5: Solve for x
    x = 169,108,467,984/304,850
  6. Step 6: Final answer
    x = 554,726.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.