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Finding the Third Proportional to 204,694,320 and 292,715,293.50

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Solution

The third proportional to 204,694,320 and 292,715,293.50 is: 418,586,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,694,320 : 292,715,293.50 = 292,715,293.50 : x
  2. Step 2: Convert to fraction form
    204,694,320/292,715,293.50 = 292,715,293.50/x
  3. Step 3: Cross multiply
    204,694,320x = 292,715,293.50 × 292,715,293.50
  4. Step 4: Simplify right side
    204,694,320x = 85,682,243,048,791,136
  5. Step 5: Solve for x
    x = 85,682,243,048,791,136/204,694,320
  6. Step 6: Final answer
    x = 418,586,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.