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Finding the Third Proportional to 64,718,974 and 138,649,592

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Solution

The third proportional to 64,718,974 and 138,649,592 is: 297,033,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718,974 : 138,649,592 = 138,649,592 : x
  2. Step 2: Convert to fraction form
    64,718,974/138,649,592 = 138,649,592/x
  3. Step 3: Cross multiply
    64,718,974x = 138,649,592 × 138,649,592
  4. Step 4: Simplify right side
    64,718,974x = 19,223,709,361,766,464
  5. Step 5: Solve for x
    x = 19,223,709,361,766,464/64,718,974
  6. Step 6: Final answer
    x = 297,033,592.68

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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.