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Finding the Third Proportional to 490,222 and 749,438

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Solution

The third proportional to 490,222 and 749,438 is: 1,145,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,222 : 749,438 = 749,438 : x
  2. Step 2: Convert to fraction form
    490,222/749,438 = 749,438/x
  3. Step 3: Cross multiply
    490,222x = 749,438 × 749,438
  4. Step 4: Simplify right side
    490,222x = 561,657,315,844
  5. Step 5: Solve for x
    x = 561,657,315,844/490,222
  6. Step 6: Final answer
    x = 1,145,720.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.