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Finding the Third Proportional to 185,220 and 405,160

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Solution

The third proportional to 185,220 and 405,160 is: 886,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,220 : 405,160 = 405,160 : x
  2. Step 2: Convert to fraction form
    185,220/405,160 = 405,160/x
  3. Step 3: Cross multiply
    185,220x = 405,160 × 405,160
  4. Step 4: Simplify right side
    185,220x = 164,154,625,600
  5. Step 5: Solve for x
    x = 164,154,625,600/185,220
  6. Step 6: Final answer
    x = 886,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.