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Finding the Third Proportional to 204,512,840 and 287,660,964

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Solution

The third proportional to 204,512,840 and 287,660,964 is: 404,614,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,512,840 : 287,660,964 = 287,660,964 : x
  2. Step 2: Convert to fraction form
    204,512,840/287,660,964 = 287,660,964/x
  3. Step 3: Cross multiply
    204,512,840x = 287,660,964 × 287,660,964
  4. Step 4: Simplify right side
    204,512,840x = 82,748,830,209,409,296
  5. Step 5: Solve for x
    x = 82,748,830,209,409,296/204,512,840
  6. Step 6: Final answer
    x = 404,614,351.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.