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Finding the Third Proportional to 8,302,471 and 18,239,440

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Solution

The third proportional to 8,302,471 and 18,239,440 is: 40,069,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302,471 : 18,239,440 = 18,239,440 : x
  2. Step 2: Convert to fraction form
    8,302,471/18,239,440 = 18,239,440/x
  3. Step 3: Cross multiply
    8,302,471x = 18,239,440 × 18,239,440
  4. Step 4: Simplify right side
    8,302,471x = 332,677,171,513,600
  5. Step 5: Solve for x
    x = 332,677,171,513,600/8,302,471
  6. Step 6: Final answer
    x = 40,069,657.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.