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Finding the Third Proportional to 200,072 and 437,320

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Solution

The third proportional to 200,072 and 437,320 is: 955,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,072 : 437,320 = 437,320 : x
  2. Step 2: Convert to fraction form
    200,072/437,320 = 437,320/x
  3. Step 3: Cross multiply
    200,072x = 437,320 × 437,320
  4. Step 4: Simplify right side
    200,072x = 191,248,782,400
  5. Step 5: Solve for x
    x = 191,248,782,400/200,072
  6. Step 6: Final answer
    x = 955,899.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.