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Finding the Third Proportional to 413,343 and 980,140.50

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Solution

The third proportional to 413,343 and 980,140.50 is: 2,324,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343 : 980,140.50 = 980,140.50 : x
  2. Step 2: Convert to fraction form
    413,343/980,140.50 = 980,140.50/x
  3. Step 3: Cross multiply
    413,343x = 980,140.50 × 980,140.50
  4. Step 4: Simplify right side
    413,343x = 960,675,399,740.25
  5. Step 5: Solve for x
    x = 960,675,399,740.25/413,343
  6. Step 6: Final answer
    x = 2,324,160.32

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.