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Finding the Third Proportional to 426,649 and 920,549

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Solution

The third proportional to 426,649 and 920,549 is: 1,986,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,649 : 920,549 = 920,549 : x
  2. Step 2: Convert to fraction form
    426,649/920,549 = 920,549/x
  3. Step 3: Cross multiply
    426,649x = 920,549 × 920,549
  4. Step 4: Simplify right side
    426,649x = 847,410,461,401
  5. Step 5: Solve for x
    x = 847,410,461,401/426,649
  6. Step 6: Final answer
    x = 1,986,200.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.