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Finding the Third Proportional to 393,678.56 and 608,971.50

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Solution

The third proportional to 393,678.56 and 608,971.50 is: 942,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,678.56 : 608,971.50 = 608,971.50 : x
  2. Step 2: Convert to fraction form
    393,678.56/608,971.50 = 608,971.50/x
  3. Step 3: Cross multiply
    393,678.56x = 608,971.50 × 608,971.50
  4. Step 4: Simplify right side
    393,678.56x = 370,846,287,812.25
  5. Step 5: Solve for x
    x = 370,846,287,812.25/393,678.56
  6. Step 6: Final answer
    x = 942,002.75

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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.