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Finding the Third Proportional to 174,494,910 and 378,070,728

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Solution

The third proportional to 174,494,910 and 378,070,728 is: 819,149,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,494,910 : 378,070,728 = 378,070,728 : x
  2. Step 2: Convert to fraction form
    174,494,910/378,070,728 = 378,070,728/x
  3. Step 3: Cross multiply
    174,494,910x = 378,070,728 × 378,070,728
  4. Step 4: Simplify right side
    174,494,910x = 142,937,475,370,449,984
  5. Step 5: Solve for x
    x = 142,937,475,370,449,984/174,494,910
  6. Step 6: Final answer
    x = 819,149,827.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.