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Finding the Third Proportional to 402,302 and 863,018

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Solution

The third proportional to 402,302 and 863,018 is: 1,851,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,302 : 863,018 = 863,018 : x
  2. Step 2: Convert to fraction form
    402,302/863,018 = 863,018/x
  3. Step 3: Cross multiply
    402,302x = 863,018 × 863,018
  4. Step 4: Simplify right side
    402,302x = 744,800,068,324
  5. Step 5: Solve for x
    x = 744,800,068,324/402,302
  6. Step 6: Final answer
    x = 1,851,345.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.