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Finding the Third Proportional to 561,348 and 858,861

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Solution

The third proportional to 561,348 and 858,861 is: 1,314,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,348 : 858,861 = 858,861 : x
  2. Step 2: Convert to fraction form
    561,348/858,861 = 858,861/x
  3. Step 3: Cross multiply
    561,348x = 858,861 × 858,861
  4. Step 4: Simplify right side
    561,348x = 737,642,217,321
  5. Step 5: Solve for x
    x = 737,642,217,321/561,348
  6. Step 6: Final answer
    x = 1,314,055.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.