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Finding the Third Proportional to 79,823,440 and 172,420,256

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Solution

The third proportional to 79,823,440 and 172,420,256 is: 372,431,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,823,440 : 172,420,256 = 172,420,256 : x
  2. Step 2: Convert to fraction form
    79,823,440/172,420,256 = 172,420,256/x
  3. Step 3: Cross multiply
    79,823,440x = 172,420,256 × 172,420,256
  4. Step 4: Simplify right side
    79,823,440x = 29,728,744,679,105,536
  5. Step 5: Solve for x
    x = 29,728,744,679,105,536/79,823,440
  6. Step 6: Final answer
    x = 372,431,264.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.