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Finding the Third Proportional to 196,129,990 and 426,734,720

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Solution

The third proportional to 196,129,990 and 426,734,720 is: 928,478,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,129,990 : 426,734,720 = 426,734,720 : x
  2. Step 2: Convert to fraction form
    196,129,990/426,734,720 = 426,734,720/x
  3. Step 3: Cross multiply
    196,129,990x = 426,734,720 × 426,734,720
  4. Step 4: Simplify right side
    196,129,990x = 182,102,521,253,478,400
  5. Step 5: Solve for x
    x = 182,102,521,253,478,400/196,129,990
  6. Step 6: Final answer
    x = 928,478,715.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.