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Finding the Third Proportional to 284,695 and 418,474.50

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Solution

The third proportional to 284,695 and 418,474.50 is: 615,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,695 : 418,474.50 = 418,474.50 : x
  2. Step 2: Convert to fraction form
    284,695/418,474.50 = 418,474.50/x
  3. Step 3: Cross multiply
    284,695x = 418,474.50 × 418,474.50
  4. Step 4: Simplify right side
    284,695x = 175,120,907,150.25
  5. Step 5: Solve for x
    x = 175,120,907,150.25/284,695
  6. Step 6: Final answer
    x = 615,117.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.