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Finding the Third Proportional to 200,807 and 432,718

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Solution

The third proportional to 200,807 and 432,718 is: 932,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,807 : 432,718 = 432,718 : x
  2. Step 2: Convert to fraction form
    200,807/432,718 = 432,718/x
  3. Step 3: Cross multiply
    200,807x = 432,718 × 432,718
  4. Step 4: Simplify right side
    200,807x = 187,244,867,524
  5. Step 5: Solve for x
    x = 187,244,867,524/200,807
  6. Step 6: Final answer
    x = 932,461.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.