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Finding the Third Proportional to 200,572 and 437,120

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Solution

The third proportional to 200,572 and 437,120 is: 952,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,572 : 437,120 = 437,120 : x
  2. Step 2: Convert to fraction form
    200,572/437,120 = 437,120/x
  3. Step 3: Cross multiply
    200,572x = 437,120 × 437,120
  4. Step 4: Simplify right side
    200,572x = 191,073,894,400
  5. Step 5: Solve for x
    x = 191,073,894,400/200,572
  6. Step 6: Final answer
    x = 952,644.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.