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Finding the Third Proportional to 283,210 and 434,643

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Solution

The third proportional to 283,210 and 434,643 is: 667,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,210 : 434,643 = 434,643 : x
  2. Step 2: Convert to fraction form
    283,210/434,643 = 434,643/x
  3. Step 3: Cross multiply
    283,210x = 434,643 × 434,643
  4. Step 4: Simplify right side
    283,210x = 188,914,537,449
  5. Step 5: Solve for x
    x = 188,914,537,449/283,210
  6. Step 6: Final answer
    x = 667,047.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.