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Finding the Third Proportional to 204,600,440 and 438,311,920

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Solution

The third proportional to 204,600,440 and 438,311,920 is: 938,987,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600,440 : 438,311,920 = 438,311,920 : x
  2. Step 2: Convert to fraction form
    204,600,440/438,311,920 = 438,311,920/x
  3. Step 3: Cross multiply
    204,600,440x = 438,311,920 × 438,311,920
  4. Step 4: Simplify right side
    204,600,440x = 192,117,339,214,086,400
  5. Step 5: Solve for x
    x = 192,117,339,214,086,400/204,600,440
  6. Step 6: Final answer
    x = 938,987,908.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.