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Finding the Third Proportional to 399,284 and 865,718

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Solution

The third proportional to 399,284 and 865,718 is: 1,877,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,284 : 865,718 = 865,718 : x
  2. Step 2: Convert to fraction form
    399,284/865,718 = 865,718/x
  3. Step 3: Cross multiply
    399,284x = 865,718 × 865,718
  4. Step 4: Simplify right side
    399,284x = 749,467,655,524
  5. Step 5: Solve for x
    x = 749,467,655,524/399,284
  6. Step 6: Final answer
    x = 1,877,029.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.