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Finding the Third Proportional to 388,407 and 830,782

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Solution

The third proportional to 388,407 and 830,782 is: 1,776,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,407 : 830,782 = 830,782 : x
  2. Step 2: Convert to fraction form
    388,407/830,782 = 830,782/x
  3. Step 3: Cross multiply
    388,407x = 830,782 × 830,782
  4. Step 4: Simplify right side
    388,407x = 690,198,731,524
  5. Step 5: Solve for x
    x = 690,198,731,524/388,407
  6. Step 6: Final answer
    x = 1,776,998.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.