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Finding the Third Proportional to 399,026 and 861,358

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Solution

The third proportional to 399,026 and 861,358 is: 1,859,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,026 : 861,358 = 861,358 : x
  2. Step 2: Convert to fraction form
    399,026/861,358 = 861,358/x
  3. Step 3: Cross multiply
    399,026x = 861,358 × 861,358
  4. Step 4: Simplify right side
    399,026x = 741,937,604,164
  5. Step 5: Solve for x
    x = 741,937,604,164/399,026
  6. Step 6: Final answer
    x = 1,859,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.