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Finding the Third Proportional to 421,056 and 920,857

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Solution

The third proportional to 421,056 and 920,857 is: 2,013,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,056 : 920,857 = 920,857 : x
  2. Step 2: Convert to fraction form
    421,056/920,857 = 920,857/x
  3. Step 3: Cross multiply
    421,056x = 920,857 × 920,857
  4. Step 4: Simplify right side
    421,056x = 847,977,614,449
  5. Step 5: Solve for x
    x = 847,977,614,449/421,056
  6. Step 6: Final answer
    x = 2,013,930.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.