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Finding the Third Proportional to 390,722 and 829,406

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Solution

The third proportional to 390,722 and 829,406 is: 1,760,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,722 : 829,406 = 829,406 : x
  2. Step 2: Convert to fraction form
    390,722/829,406 = 829,406/x
  3. Step 3: Cross multiply
    390,722x = 829,406 × 829,406
  4. Step 4: Simplify right side
    390,722x = 687,914,312,836
  5. Step 5: Solve for x
    x = 687,914,312,836/390,722
  6. Step 6: Final answer
    x = 1,760,623.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.