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Finding the Third Proportional to 218,487 and 295,192.50

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Solution

The third proportional to 218,487 and 295,192.50 is: 398,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,487 : 295,192.50 = 295,192.50 : x
  2. Step 2: Convert to fraction form
    218,487/295,192.50 = 295,192.50/x
  3. Step 3: Cross multiply
    218,487x = 295,192.50 × 295,192.50
  4. Step 4: Simplify right side
    218,487x = 87,138,612,056.25
  5. Step 5: Solve for x
    x = 87,138,612,056.25/218,487
  6. Step 6: Final answer
    x = 398,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.