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Finding the Third Proportional to 313,360 and 688,928

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Solution

The third proportional to 313,360 and 688,928 is: 1,514,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,360 : 688,928 = 688,928 : x
  2. Step 2: Convert to fraction form
    313,360/688,928 = 688,928/x
  3. Step 3: Cross multiply
    313,360x = 688,928 × 688,928
  4. Step 4: Simplify right side
    313,360x = 474,621,789,184
  5. Step 5: Solve for x
    x = 474,621,789,184/313,360
  6. Step 6: Final answer
    x = 1,514,621.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.