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Finding the Third Proportional to 521,786 and 830,021

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Solution

The third proportional to 521,786 and 830,021 is: 1,320,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,786 : 830,021 = 830,021 : x
  2. Step 2: Convert to fraction form
    521,786/830,021 = 830,021/x
  3. Step 3: Cross multiply
    521,786x = 830,021 × 830,021
  4. Step 4: Simplify right side
    521,786x = 688,934,860,441
  5. Step 5: Solve for x
    x = 688,934,860,441/521,786
  6. Step 6: Final answer
    x = 1,320,339.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.