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Finding the Third Proportional to 421,059 and 920,862

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Solution

The third proportional to 421,059 and 920,862 is: 2,013,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,059 : 920,862 = 920,862 : x
  2. Step 2: Convert to fraction form
    421,059/920,862 = 920,862/x
  3. Step 3: Cross multiply
    421,059x = 920,862 × 920,862
  4. Step 4: Simplify right side
    421,059x = 847,986,823,044
  5. Step 5: Solve for x
    x = 847,986,823,044/421,059
  6. Step 6: Final answer
    x = 2,013,938.24

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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.