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Finding the Third Proportional to 102,018,990 and 218,592,329

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Solution

The third proportional to 102,018,990 and 218,592,329 is: 468,369,725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018,990 : 218,592,329 = 218,592,329 : x
  2. Step 2: Convert to fraction form
    102,018,990/218,592,329 = 218,592,329/x
  3. Step 3: Cross multiply
    102,018,990x = 218,592,329 × 218,592,329
  4. Step 4: Simplify right side
    102,018,990x = 47,782,606,297,644,240
  5. Step 5: Solve for x
    x = 47,782,606,297,644,240/102,018,990
  6. Step 6: Final answer
    x = 468,369,725.06

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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.