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Finding the Third Proportional to 284,142 and 441,153

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Solution

The third proportional to 284,142 and 441,153 is: 684,925.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,142 : 441,153 = 441,153 : x
  2. Step 2: Convert to fraction form
    284,142/441,153 = 441,153/x
  3. Step 3: Cross multiply
    284,142x = 441,153 × 441,153
  4. Step 4: Simplify right side
    284,142x = 194,615,969,409
  5. Step 5: Solve for x
    x = 194,615,969,409/284,142
  6. Step 6: Final answer
    x = 684,925.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.