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Finding the Third Proportional to 64,737,567 and 138,685,981

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Solution

The third proportional to 64,737,567 and 138,685,981 is: 297,104,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,737,567 : 138,685,981 = 138,685,981 : x
  2. Step 2: Convert to fraction form
    64,737,567/138,685,981 = 138,685,981/x
  3. Step 3: Cross multiply
    64,737,567x = 138,685,981 × 138,685,981
  4. Step 4: Simplify right side
    64,737,567x = 19,233,801,325,932,360
  5. Step 5: Solve for x
    x = 19,233,801,325,932,360/64,737,567
  6. Step 6: Final answer
    x = 297,104,173.31

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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.