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Finding the Third Proportional to 64,718,874 and 139,043,049

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Solution

The third proportional to 64,718,874 and 139,043,049 is: 298,722,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718,874 : 139,043,049 = 139,043,049 : x
  2. Step 2: Convert to fraction form
    64,718,874/139,043,049 = 139,043,049/x
  3. Step 3: Cross multiply
    64,718,874x = 139,043,049 × 139,043,049
  4. Step 4: Simplify right side
    64,718,874x = 19,332,969,475,216,400
  5. Step 5: Solve for x
    x = 19,332,969,475,216,400/64,718,874
  6. Step 6: Final answer
    x = 298,722,278.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.