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Finding the Third Proportional to 200,489 and 432,319

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Solution

The third proportional to 200,489 and 432,319 is: 932,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489 : 432,319 = 432,319 : x
  2. Step 2: Convert to fraction form
    200,489/432,319 = 432,319/x
  3. Step 3: Cross multiply
    200,489x = 432,319 × 432,319
  4. Step 4: Simplify right side
    200,489x = 186,899,717,761
  5. Step 5: Solve for x
    x = 186,899,717,761/200,489
  6. Step 6: Final answer
    x = 932,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.