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Finding the Third Proportional to 21,048,054 and 31,486,257

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Solution

The third proportional to 21,048,054 and 31,486,257 is: 47,100,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048,054 : 31,486,257 = 31,486,257 : x
  2. Step 2: Convert to fraction form
    21,048,054/31,486,257 = 31,486,257/x
  3. Step 3: Cross multiply
    21,048,054x = 31,486,257 × 31,486,257
  4. Step 4: Simplify right side
    21,048,054x = 991,384,379,870,049
  5. Step 5: Solve for x
    x = 991,384,379,870,049/21,048,054
  6. Step 6: Final answer
    x = 47,100,999.45

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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.