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Finding the Third Proportional to 261,806 and 554,770

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Solution

The third proportional to 261,806 and 554,770 is: 1,175,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806 : 554,770 = 554,770 : x
  2. Step 2: Convert to fraction form
    261,806/554,770 = 554,770/x
  3. Step 3: Cross multiply
    261,806x = 554,770 × 554,770
  4. Step 4: Simplify right side
    261,806x = 307,769,752,900
  5. Step 5: Solve for x
    x = 307,769,752,900/261,806
  6. Step 6: Final answer
    x = 1,175,564.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.