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Finding the Third Proportional to 555,261 and 839,727

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Solution

The third proportional to 555,261 and 839,727 is: 1,269,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,261 : 839,727 = 839,727 : x
  2. Step 2: Convert to fraction form
    555,261/839,727 = 839,727/x
  3. Step 3: Cross multiply
    555,261x = 839,727 × 839,727
  4. Step 4: Simplify right side
    555,261x = 705,141,434,529
  5. Step 5: Solve for x
    x = 705,141,434,529/555,261
  6. Step 6: Final answer
    x = 1,269,927.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.