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Finding the Third Proportional to 315,994 and 676,460

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Solution

The third proportional to 315,994 and 676,460 is: 1,448,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,994 : 676,460 = 676,460 : x
  2. Step 2: Convert to fraction form
    315,994/676,460 = 676,460/x
  3. Step 3: Cross multiply
    315,994x = 676,460 × 676,460
  4. Step 4: Simplify right side
    315,994x = 457,598,131,600
  5. Step 5: Solve for x
    x = 457,598,131,600/315,994
  6. Step 6: Final answer
    x = 1,448,122.85

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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.