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Finding the Third Proportional to 502,776 and 1,084,266

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Solution

The third proportional to 502,776 and 1,084,266 is: 2,338,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,776 : 1,084,266 = 1,084,266 : x
  2. Step 2: Convert to fraction form
    502,776/1,084,266 = 1,084,266/x
  3. Step 3: Cross multiply
    502,776x = 1,084,266 × 1,084,266
  4. Step 4: Simplify right side
    502,776x = 1,175,632,758,756
  5. Step 5: Solve for x
    x = 1,175,632,758,756/502,776
  6. Step 6: Final answer
    x = 2,338,283.37

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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.