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Finding the Third Proportional to 352,512 and 687,312

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Solution

The third proportional to 352,512 and 687,312 is: 1,340,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,512 : 687,312 = 687,312 : x
  2. Step 2: Convert to fraction form
    352,512/687,312 = 687,312/x
  3. Step 3: Cross multiply
    352,512x = 687,312 × 687,312
  4. Step 4: Simplify right side
    352,512x = 472,397,785,344
  5. Step 5: Solve for x
    x = 472,397,785,344/352,512
  6. Step 6: Final answer
    x = 1,340,089.94

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.