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Finding the Third Proportional to 387,995 and 837,154

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Solution

The third proportional to 387,995 and 837,154 is: 1,806,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,995 : 837,154 = 837,154 : x
  2. Step 2: Convert to fraction form
    387,995/837,154 = 837,154/x
  3. Step 3: Cross multiply
    387,995x = 837,154 × 837,154
  4. Step 4: Simplify right side
    387,995x = 700,826,819,716
  5. Step 5: Solve for x
    x = 700,826,819,716/387,995
  6. Step 6: Final answer
    x = 1,806,277.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.