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Finding the Third Proportional to 490,954.50 and 761,970

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Solution

The third proportional to 490,954.50 and 761,970 is: 1,182,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,954.50 : 761,970 = 761,970 : x
  2. Step 2: Convert to fraction form
    490,954.50/761,970 = 761,970/x
  3. Step 3: Cross multiply
    490,954.50x = 761,970 × 761,970
  4. Step 4: Simplify right side
    490,954.50x = 580,598,280,900
  5. Step 5: Solve for x
    x = 580,598,280,900/490,954.50
  6. Step 6: Final answer
    x = 1,182,590.81

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