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Finding the Third Proportional to 8,234,640 and 18,144,576

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Solution

The third proportional to 8,234,640 and 18,144,576 is: 39,980,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234,640 : 18,144,576 = 18,144,576 : x
  2. Step 2: Convert to fraction form
    8,234,640/18,144,576 = 18,144,576/x
  3. Step 3: Cross multiply
    8,234,640x = 18,144,576 × 18,144,576
  4. Step 4: Simplify right side
    8,234,640x = 329,225,638,219,776
  5. Step 5: Solve for x
    x = 329,225,638,219,776/8,234,640
  6. Step 6: Final answer
    x = 39,980,574.53

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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.