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Finding the Third Proportional to 490,955 and 761,972

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Solution

The third proportional to 490,955 and 761,972 is: 1,182,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,955 : 761,972 = 761,972 : x
  2. Step 2: Convert to fraction form
    490,955/761,972 = 761,972/x
  3. Step 3: Cross multiply
    490,955x = 761,972 × 761,972
  4. Step 4: Simplify right side
    490,955x = 580,601,328,784
  5. Step 5: Solve for x
    x = 580,601,328,784/490,955
  6. Step 6: Final answer
    x = 1,182,595.82

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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.