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Finding the Third Proportional to 141,199.50 and 310,830

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Solution

The third proportional to 141,199.50 and 310,830 is: 684,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,199.50 : 310,830 = 310,830 : x
  2. Step 2: Convert to fraction form
    141,199.50/310,830 = 310,830/x
  3. Step 3: Cross multiply
    141,199.50x = 310,830 × 310,830
  4. Step 4: Simplify right side
    141,199.50x = 96,615,288,900
  5. Step 5: Solve for x
    x = 96,615,288,900/141,199.50
  6. Step 6: Final answer
    x = 684,246.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.