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Finding the Third Proportional to 557,287 and 885,653

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Solution

The third proportional to 557,287 and 885,653 is: 1,407,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,287 : 885,653 = 885,653 : x
  2. Step 2: Convert to fraction form
    557,287/885,653 = 885,653/x
  3. Step 3: Cross multiply
    557,287x = 885,653 × 885,653
  4. Step 4: Simplify right side
    557,287x = 784,381,236,409
  5. Step 5: Solve for x
    x = 784,381,236,409/557,287
  6. Step 6: Final answer
    x = 1,407,499.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.