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Finding the Third Proportional to 390,121 and 843,056

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Solution

The third proportional to 390,121 and 843,056 is: 1,821,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121 : 843,056 = 843,056 : x
  2. Step 2: Convert to fraction form
    390,121/843,056 = 843,056/x
  3. Step 3: Cross multiply
    390,121x = 843,056 × 843,056
  4. Step 4: Simplify right side
    390,121x = 710,743,419,136
  5. Step 5: Solve for x
    x = 710,743,419,136/390,121
  6. Step 6: Final answer
    x = 1,821,853.78

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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.