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Finding the Third Proportional to 402,362 and 873,922

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Solution

The third proportional to 402,362 and 873,922 is: 1,898,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,362 : 873,922 = 873,922 : x
  2. Step 2: Convert to fraction form
    402,362/873,922 = 873,922/x
  3. Step 3: Cross multiply
    402,362x = 873,922 × 873,922
  4. Step 4: Simplify right side
    402,362x = 763,739,662,084
  5. Step 5: Solve for x
    x = 763,739,662,084/402,362
  6. Step 6: Final answer
    x = 1,898,140.63

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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.