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Finding the Third Proportional to 184,389 and 402,147

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Solution

The third proportional to 184,389 and 402,147 is: 877,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,389 : 402,147 = 402,147 : x
  2. Step 2: Convert to fraction form
    184,389/402,147 = 402,147/x
  3. Step 3: Cross multiply
    184,389x = 402,147 × 402,147
  4. Step 4: Simplify right side
    184,389x = 161,722,209,609
  5. Step 5: Solve for x
    x = 161,722,209,609/184,389
  6. Step 6: Final answer
    x = 877,070.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.