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Finding the Third Proportional to 217,422,813 and 329,299,083

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Solution

The third proportional to 217,422,813 and 329,299,083 is: 498,741,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,422,813 : 329,299,083 = 329,299,083 : x
  2. Step 2: Convert to fraction form
    217,422,813/329,299,083 = 329,299,083/x
  3. Step 3: Cross multiply
    217,422,813x = 329,299,083 × 329,299,083
  4. Step 4: Simplify right side
    217,422,813x = 108,437,886,064,640,896
  5. Step 5: Solve for x
    x = 108,437,886,064,640,896/217,422,813
  6. Step 6: Final answer
    x = 498,741,988.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.