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Finding the Third Proportional to 490,614 and 719,775

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Solution

The third proportional to 490,614 and 719,775 is: 1,055,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,614 : 719,775 = 719,775 : x
  2. Step 2: Convert to fraction form
    490,614/719,775 = 719,775/x
  3. Step 3: Cross multiply
    490,614x = 719,775 × 719,775
  4. Step 4: Simplify right side
    490,614x = 518,076,050,625
  5. Step 5: Solve for x
    x = 518,076,050,625/490,614
  6. Step 6: Final answer
    x = 1,055,974.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.