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Finding the Third Proportional to 378,776.81 and 531,491.06

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Solution

The third proportional to 378,776.81 and 531,491.06 is: 745,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,776.81 : 531,491.06 = 531,491.06 : x
  2. Step 2: Convert to fraction form
    378,776.81/531,491.06 = 531,491.06/x
  3. Step 3: Cross multiply
    378,776.81x = 531,491.06 × 531,491.06
  4. Step 4: Simplify right side
    378,776.81x = 282,482,749,517.38
  5. Step 5: Solve for x
    x = 282,482,749,517.38/378,776.81
  6. Step 6: Final answer
    x = 745,776.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.