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Finding the Third Proportional to 442,414.50 and 680,935.50

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Solution

The third proportional to 442,414.50 and 680,935.50 is: 1,048,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,414.50 : 680,935.50 = 680,935.50 : x
  2. Step 2: Convert to fraction form
    442,414.50/680,935.50 = 680,935.50/x
  3. Step 3: Cross multiply
    442,414.50x = 680,935.50 × 680,935.50
  4. Step 4: Simplify right side
    442,414.50x = 463,673,155,160.25
  5. Step 5: Solve for x
    x = 463,673,155,160.25/442,414.50
  6. Step 6: Final answer
    x = 1,048,051.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.