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Finding the Third Proportional to 21,048,060 and 31,486,266

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Solution

The third proportional to 21,048,060 and 31,486,266 is: 47,101,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048,060 : 31,486,266 = 31,486,266 : x
  2. Step 2: Convert to fraction form
    21,048,060/31,486,266 = 31,486,266/x
  3. Step 3: Cross multiply
    21,048,060x = 31,486,266 × 31,486,266
  4. Step 4: Simplify right side
    21,048,060x = 991,384,946,622,756
  5. Step 5: Solve for x
    x = 991,384,946,622,756/21,048,060
  6. Step 6: Final answer
    x = 47,101,012.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.