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Finding the Third Proportional to 434,505 and 636,203

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Solution

The third proportional to 434,505 and 636,203 is: 931,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,505 : 636,203 = 636,203 : x
  2. Step 2: Convert to fraction form
    434,505/636,203 = 636,203/x
  3. Step 3: Cross multiply
    434,505x = 636,203 × 636,203
  4. Step 4: Simplify right side
    434,505x = 404,754,257,209
  5. Step 5: Solve for x
    x = 404,754,257,209/434,505
  6. Step 6: Final answer
    x = 931,529.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.