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Finding the Third Proportional to 331,340.63 and 702,118.13

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Solution

The third proportional to 331,340.63 and 702,118.13 is: 1,487,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,340.63 : 702,118.13 = 702,118.13 : x
  2. Step 2: Convert to fraction form
    331,340.63/702,118.13 = 702,118.13/x
  3. Step 3: Cross multiply
    331,340.63x = 702,118.13 × 702,118.13
  4. Step 4: Simplify right side
    331,340.63x = 492,969,861,453.52
  5. Step 5: Solve for x
    x = 492,969,861,453.52/331,340.63
  6. Step 6: Final answer
    x = 1,487,803.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.