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Finding the Third Proportional to 9,733,728 and 22,532,940

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Solution

The third proportional to 9,733,728 and 22,532,940 is: 52,162,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733,728 : 22,532,940 = 22,532,940 : x
  2. Step 2: Convert to fraction form
    9,733,728/22,532,940 = 22,532,940/x
  3. Step 3: Cross multiply
    9,733,728x = 22,532,940 × 22,532,940
  4. Step 4: Simplify right side
    9,733,728x = 507,733,385,043,600
  5. Step 5: Solve for x
    x = 507,733,385,043,600/9,733,728
  6. Step 6: Final answer
    x = 52,162,273.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.