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Finding the Third Proportional to 166,908,672 and 255,319,839

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Solution

The third proportional to 166,908,672 and 255,319,839 is: 390,562,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,908,672 : 255,319,839 = 255,319,839 : x
  2. Step 2: Convert to fraction form
    166,908,672/255,319,839 = 255,319,839/x
  3. Step 3: Cross multiply
    166,908,672x = 255,319,839 × 255,319,839
  4. Step 4: Simplify right side
    166,908,672x = 65,188,220,186,985,920
  5. Step 5: Solve for x
    x = 65,188,220,186,985,920/166,908,672
  6. Step 6: Final answer
    x = 390,562,212.29

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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.