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Finding the Third Proportional to 197,635,218 and 429,292,227

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Solution

The third proportional to 197,635,218 and 429,292,227 is: 932,484,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,635,218 : 429,292,227 = 429,292,227 : x
  2. Step 2: Convert to fraction form
    197,635,218/429,292,227 = 429,292,227/x
  3. Step 3: Cross multiply
    197,635,218x = 429,292,227 × 429,292,227
  4. Step 4: Simplify right side
    197,635,218x = 184,291,816,162,619,520
  5. Step 5: Solve for x
    x = 184,291,816,162,619,520/197,635,218
  6. Step 6: Final answer
    x = 932,484,695.93

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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.