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Finding the Third Proportional to 399,282 and 873,588

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Solution

The third proportional to 399,282 and 873,588 is: 1,911,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,282 : 873,588 = 873,588 : x
  2. Step 2: Convert to fraction form
    399,282/873,588 = 873,588/x
  3. Step 3: Cross multiply
    399,282x = 873,588 × 873,588
  4. Step 4: Simplify right side
    399,282x = 763,155,993,744
  5. Step 5: Solve for x
    x = 763,155,993,744/399,282
  6. Step 6: Final answer
    x = 1,911,320.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.