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Finding the Third Proportional to 402,360 and 873,917

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Solution

The third proportional to 402,360 and 873,917 is: 1,898,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,360 : 873,917 = 873,917 : x
  2. Step 2: Convert to fraction form
    402,360/873,917 = 873,917/x
  3. Step 3: Cross multiply
    402,360x = 873,917 × 873,917
  4. Step 4: Simplify right side
    402,360x = 763,730,922,889
  5. Step 5: Solve for x
    x = 763,730,922,889/402,360
  6. Step 6: Final answer
    x = 1,898,128.35

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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.