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Finding the Third Proportional to 172,355,107 and 257,921,992

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Solution

The third proportional to 172,355,107 and 257,921,992 is: 385,969,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,355,107 : 257,921,992 = 257,921,992 : x
  2. Step 2: Convert to fraction form
    172,355,107/257,921,992 = 257,921,992/x
  3. Step 3: Cross multiply
    172,355,107x = 257,921,992 × 257,921,992
  4. Step 4: Simplify right side
    172,355,107x = 66,523,753,957,248,064
  5. Step 5: Solve for x
    x = 66,523,753,957,248,064/172,355,107
  6. Step 6: Final answer
    x = 385,969,148.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.