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Finding the Third Proportional to 490,953 and 761,969

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Solution

The third proportional to 490,953 and 761,969 is: 1,182,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,953 : 761,969 = 761,969 : x
  2. Step 2: Convert to fraction form
    490,953/761,969 = 761,969/x
  3. Step 3: Cross multiply
    490,953x = 761,969 × 761,969
  4. Step 4: Simplify right side
    490,953x = 580,596,756,961
  5. Step 5: Solve for x
    x = 580,596,756,961/490,953
  6. Step 6: Final answer
    x = 1,182,591.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.