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Finding the Third Proportional to 376,985 and 821,713

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Solution

The third proportional to 376,985 and 821,713 is: 1,791,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,985 : 821,713 = 821,713 : x
  2. Step 2: Convert to fraction form
    376,985/821,713 = 821,713/x
  3. Step 3: Cross multiply
    376,985x = 821,713 × 821,713
  4. Step 4: Simplify right side
    376,985x = 675,212,254,369
  5. Step 5: Solve for x
    x = 675,212,254,369/376,985
  6. Step 6: Final answer
    x = 1,791,085.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.