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Finding the Third Proportional to 187,051 and 387,407

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Solution

The third proportional to 187,051 and 387,407 is: 802,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,051 : 387,407 = 387,407 : x
  2. Step 2: Convert to fraction form
    187,051/387,407 = 387,407/x
  3. Step 3: Cross multiply
    187,051x = 387,407 × 387,407
  4. Step 4: Simplify right side
    187,051x = 150,084,183,649
  5. Step 5: Solve for x
    x = 150,084,183,649/187,051
  6. Step 6: Final answer
    x = 802,370.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.