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Finding the Third Proportional to 169,900,035 and 257,981,841

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Solution

The third proportional to 169,900,035 and 257,981,841 is: 391,728,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,900,035 : 257,981,841 = 257,981,841 : x
  2. Step 2: Convert to fraction form
    169,900,035/257,981,841 = 257,981,841/x
  3. Step 3: Cross multiply
    169,900,035x = 257,981,841 × 257,981,841
  4. Step 4: Simplify right side
    169,900,035x = 66,554,630,285,749,280
  5. Step 5: Solve for x
    x = 66,554,630,285,749,280/169,900,035
  6. Step 6: Final answer
    x = 391,728,172.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.