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Finding the Third Proportional to 268,490 and 376,287

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Solution

The third proportional to 268,490 and 376,287 is: 527,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,490 : 376,287 = 376,287 : x
  2. Step 2: Convert to fraction form
    268,490/376,287 = 376,287/x
  3. Step 3: Cross multiply
    268,490x = 376,287 × 376,287
  4. Step 4: Simplify right side
    268,490x = 141,591,906,369
  5. Step 5: Solve for x
    x = 141,591,906,369/268,490
  6. Step 6: Final answer
    x = 527,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.