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Finding the Third Proportional to 520,617 and 1,055,721

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Solution

The third proportional to 520,617 and 1,055,721 is: 2,140,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,617 : 1,055,721 = 1,055,721 : x
  2. Step 2: Convert to fraction form
    520,617/1,055,721 = 1,055,721/x
  3. Step 3: Cross multiply
    520,617x = 1,055,721 × 1,055,721
  4. Step 4: Simplify right side
    520,617x = 1,114,546,829,841
  5. Step 5: Solve for x
    x = 1,114,546,829,841/520,617
  6. Step 6: Final answer
    x = 2,140,819.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.