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Finding the Third Proportional to 387,974 and 837,148

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Solution

The third proportional to 387,974 and 837,148 is: 1,806,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,974 : 837,148 = 837,148 : x
  2. Step 2: Convert to fraction form
    387,974/837,148 = 837,148/x
  3. Step 3: Cross multiply
    387,974x = 837,148 × 837,148
  4. Step 4: Simplify right side
    387,974x = 700,816,773,904
  5. Step 5: Solve for x
    x = 700,816,773,904/387,974
  6. Step 6: Final answer
    x = 1,806,349.84

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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.