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Finding the Third Proportional to 357,837 and 771,721

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Solution

The third proportional to 357,837 and 771,721 is: 1,664,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,837 : 771,721 = 771,721 : x
  2. Step 2: Convert to fraction form
    357,837/771,721 = 771,721/x
  3. Step 3: Cross multiply
    357,837x = 771,721 × 771,721
  4. Step 4: Simplify right side
    357,837x = 595,553,301,841
  5. Step 5: Solve for x
    x = 595,553,301,841/357,837
  6. Step 6: Final answer
    x = 1,664,314.48

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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.