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Finding the Third Proportional to 387,751 and 810,818

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Solution

The third proportional to 387,751 and 810,818 is: 1,695,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,751 : 810,818 = 810,818 : x
  2. Step 2: Convert to fraction form
    387,751/810,818 = 810,818/x
  3. Step 3: Cross multiply
    387,751x = 810,818 × 810,818
  4. Step 4: Simplify right side
    387,751x = 657,425,829,124
  5. Step 5: Solve for x
    x = 657,425,829,124/387,751
  6. Step 6: Final answer
    x = 1,695,484.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.