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Finding the Third Proportional to 315,467.06 and 688,029.56

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Solution

The third proportional to 315,467.06 and 688,029.56 is: 1,500,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,467.06 : 688,029.56 = 688,029.56 : x
  2. Step 2: Convert to fraction form
    315,467.06/688,029.56 = 688,029.56/x
  3. Step 3: Cross multiply
    315,467.06x = 688,029.56 × 688,029.56
  4. Step 4: Simplify right side
    315,467.06x = 473,384,678,873.94
  5. Step 5: Solve for x
    x = 473,384,678,873.94/315,467.06
  6. Step 6: Final answer
    x = 1,500,583.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.