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Finding the Third Proportional to 21,018,600 and 31,678,239

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Solution

The third proportional to 21,018,600 and 31,678,239 is: 47,743,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018,600 : 31,678,239 = 31,678,239 : x
  2. Step 2: Convert to fraction form
    21,018,600/31,678,239 = 31,678,239/x
  3. Step 3: Cross multiply
    21,018,600x = 31,678,239 × 31,678,239
  4. Step 4: Simplify right side
    21,018,600x = 1,003,510,826,141,121
  5. Step 5: Solve for x
    x = 1,003,510,826,141,121/21,018,600
  6. Step 6: Final answer
    x = 47,743,942.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.