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Finding the Third Proportional to 64,199,664 and 138,870,720

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Solution

The third proportional to 64,199,664 and 138,870,720 is: 300,392,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,199,664 : 138,870,720 = 138,870,720 : x
  2. Step 2: Convert to fraction form
    64,199,664/138,870,720 = 138,870,720/x
  3. Step 3: Cross multiply
    64,199,664x = 138,870,720 × 138,870,720
  4. Step 4: Simplify right side
    64,199,664x = 19,285,076,873,318,400
  5. Step 5: Solve for x
    x = 19,285,076,873,318,400/64,199,664
  6. Step 6: Final answer
    x = 300,392,177.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.