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Finding the Third Proportional to 515,775 and 1,121,217

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Solution

The third proportional to 515,775 and 1,121,217 is: 2,437,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,775 : 1,121,217 = 1,121,217 : x
  2. Step 2: Convert to fraction form
    515,775/1,121,217 = 1,121,217/x
  3. Step 3: Cross multiply
    515,775x = 1,121,217 × 1,121,217
  4. Step 4: Simplify right side
    515,775x = 1,257,127,561,089
  5. Step 5: Solve for x
    x = 1,257,127,561,089/515,775
  6. Step 6: Final answer
    x = 2,437,356.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.