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Finding the Third Proportional to 229,818.94 and 379,811.53

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Solution

The third proportional to 229,818.94 and 379,811.53 is: 627,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,818.94 : 379,811.53 = 379,811.53 : x
  2. Step 2: Convert to fraction form
    229,818.94/379,811.53 = 379,811.53/x
  3. Step 3: Cross multiply
    229,818.94x = 379,811.53 × 379,811.53
  4. Step 4: Simplify right side
    229,818.94x = 144,256,799,270.47
  5. Step 5: Solve for x
    x = 144,256,799,270.47/229,818.94
  6. Step 6: Final answer
    x = 627,697.62

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.