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Finding the Third Proportional to 315,514 and 684,257

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Solution

The third proportional to 315,514 and 684,257 is: 1,483,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,514 : 684,257 = 684,257 : x
  2. Step 2: Convert to fraction form
    315,514/684,257 = 684,257/x
  3. Step 3: Cross multiply
    315,514x = 684,257 × 684,257
  4. Step 4: Simplify right side
    315,514x = 468,207,642,049
  5. Step 5: Solve for x
    x = 468,207,642,049/315,514
  6. Step 6: Final answer
    x = 1,483,952.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.