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Finding the Third Proportional to 268,106,664 and 409,957,866

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Solution

The third proportional to 268,106,664 and 409,957,866 is: 626,860,404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,106,664 : 409,957,866 = 409,957,866 : x
  2. Step 2: Convert to fraction form
    268,106,664/409,957,866 = 409,957,866/x
  3. Step 3: Cross multiply
    268,106,664x = 409,957,866 × 409,957,866
  4. Step 4: Simplify right side
    268,106,664x = 168,065,451,895,273,952
  5. Step 5: Solve for x
    x = 168,065,451,895,273,952/268,106,664
  6. Step 6: Final answer
    x = 626,860,404.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.