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Finding the Third Proportional to 204,319 and 433,210

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Solution

The third proportional to 204,319 and 433,210 is: 918,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,319 : 433,210 = 433,210 : x
  2. Step 2: Convert to fraction form
    204,319/433,210 = 433,210/x
  3. Step 3: Cross multiply
    204,319x = 433,210 × 433,210
  4. Step 4: Simplify right side
    204,319x = 187,670,904,100
  5. Step 5: Solve for x
    x = 187,670,904,100/204,319
  6. Step 6: Final answer
    x = 918,519.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.