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Finding the Third Proportional to 277,346 and 426,387

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Solution

The third proportional to 277,346 and 426,387 is: 655,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,346 : 426,387 = 426,387 : x
  2. Step 2: Convert to fraction form
    277,346/426,387 = 426,387/x
  3. Step 3: Cross multiply
    277,346x = 426,387 × 426,387
  4. Step 4: Simplify right side
    277,346x = 181,805,873,769
  5. Step 5: Solve for x
    x = 181,805,873,769/277,346
  6. Step 6: Final answer
    x = 655,520.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.