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Finding the Third Proportional to 377,918 and 829,556

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Solution

The third proportional to 377,918 and 829,556 is: 1,820,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,918 : 829,556 = 829,556 : x
  2. Step 2: Convert to fraction form
    377,918/829,556 = 829,556/x
  3. Step 3: Cross multiply
    377,918x = 829,556 × 829,556
  4. Step 4: Simplify right side
    377,918x = 688,163,157,136
  5. Step 5: Solve for x
    x = 688,163,157,136/377,918
  6. Step 6: Final answer
    x = 1,820,932.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.