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Finding the Third Proportional to 317,525.06 and 678,721.78

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Solution

The third proportional to 317,525.06 and 678,721.78 is: 1,450,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,525.06 : 678,721.78 = 678,721.78 : x
  2. Step 2: Convert to fraction form
    317,525.06/678,721.78 = 678,721.78/x
  3. Step 3: Cross multiply
    317,525.06x = 678,721.78 × 678,721.78
  4. Step 4: Simplify right side
    317,525.06x = 460,663,256,343.17
  5. Step 5: Solve for x
    x = 460,663,256,343.17/317,525.06
  6. Step 6: Final answer
    x = 1,450,793.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.