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Finding the Third Proportional to 196,989,414 and 427,623,420

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Solution

The third proportional to 196,989,414 and 427,623,420 is: 928,282,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,989,414 : 427,623,420 = 427,623,420 : x
  2. Step 2: Convert to fraction form
    196,989,414/427,623,420 = 427,623,420/x
  3. Step 3: Cross multiply
    196,989,414x = 427,623,420 × 427,623,420
  4. Step 4: Simplify right side
    196,989,414x = 182,861,789,332,496,384
  5. Step 5: Solve for x
    x = 182,861,789,332,496,384/196,989,414
  6. Step 6: Final answer
    x = 928,282,315.38

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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.