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Finding the Third Proportional to 399,305 and 865,982

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Solution

The third proportional to 399,305 and 865,982 is: 1,878,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,305 : 865,982 = 865,982 : x
  2. Step 2: Convert to fraction form
    399,305/865,982 = 865,982/x
  3. Step 3: Cross multiply
    399,305x = 865,982 × 865,982
  4. Step 4: Simplify right side
    399,305x = 749,924,824,324
  5. Step 5: Solve for x
    x = 749,924,824,324/399,305
  6. Step 6: Final answer
    x = 1,878,075.22

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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.