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Finding the Third Proportional to 311,477.06 and 487,976.91

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Solution

The third proportional to 311,477.06 and 487,976.91 is: 764,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,477.06 : 487,976.91 = 487,976.91 : x
  2. Step 2: Convert to fraction form
    311,477.06/487,976.91 = 487,976.91/x
  3. Step 3: Cross multiply
    311,477.06x = 487,976.91 × 487,976.91
  4. Step 4: Simplify right side
    311,477.06x = 238,121,461,033.32
  5. Step 5: Solve for x
    x = 238,121,461,033.32/311,477.06
  6. Step 6: Final answer
    x = 764,491.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.