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Finding the Third Proportional to 203,506 and 434,029

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Solution

The third proportional to 203,506 and 434,029 is: 925,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506 : 434,029 = 434,029 : x
  2. Step 2: Convert to fraction form
    203,506/434,029 = 434,029/x
  3. Step 3: Cross multiply
    203,506x = 434,029 × 434,029
  4. Step 4: Simplify right side
    203,506x = 188,381,172,841
  5. Step 5: Solve for x
    x = 188,381,172,841/203,506
  6. Step 6: Final answer
    x = 925,678.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.