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Finding the Third Proportional to 282,806 and 609,891

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Solution

The third proportional to 282,806 and 609,891 is: 1,315,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,806 : 609,891 = 609,891 : x
  2. Step 2: Convert to fraction form
    282,806/609,891 = 609,891/x
  3. Step 3: Cross multiply
    282,806x = 609,891 × 609,891
  4. Step 4: Simplify right side
    282,806x = 371,967,031,881
  5. Step 5: Solve for x
    x = 371,967,031,881/282,806
  6. Step 6: Final answer
    x = 1,315,272.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.