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Finding the Third Proportional to 166,908,646 and 255,319,797

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Solution

The third proportional to 166,908,646 and 255,319,797 is: 390,562,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,908,646 : 255,319,797 = 255,319,797 : x
  2. Step 2: Convert to fraction form
    166,908,646/255,319,797 = 255,319,797/x
  3. Step 3: Cross multiply
    166,908,646x = 255,319,797 × 255,319,797
  4. Step 4: Simplify right side
    166,908,646x = 65,188,198,740,121,208
  5. Step 5: Solve for x
    x = 65,188,198,740,121,208/166,908,646
  6. Step 6: Final answer
    x = 390,562,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.