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Finding the Third Proportional to 502,366 and 1,083,444

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Solution

The third proportional to 502,366 and 1,083,444 is: 2,336,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,366 : 1,083,444 = 1,083,444 : x
  2. Step 2: Convert to fraction form
    502,366/1,083,444 = 1,083,444/x
  3. Step 3: Cross multiply
    502,366x = 1,083,444 × 1,083,444
  4. Step 4: Simplify right side
    502,366x = 1,173,850,901,136
  5. Step 5: Solve for x
    x = 1,173,850,901,136/502,366
  6. Step 6: Final answer
    x = 2,336,644.80

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