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Finding the Third Proportional to 21,163,850 and 31,663,407

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Solution

The third proportional to 21,163,850 and 31,663,407 is: 47,371,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163,850 : 31,663,407 = 31,663,407 : x
  2. Step 2: Convert to fraction form
    21,163,850/31,663,407 = 31,663,407/x
  3. Step 3: Cross multiply
    21,163,850x = 31,663,407 × 31,663,407
  4. Step 4: Simplify right side
    21,163,850x = 1,002,571,342,847,649
  5. Step 5: Solve for x
    x = 1,002,571,342,847,649/21,163,850
  6. Step 6: Final answer
    x = 47,371,879.07

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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.