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Finding the Third Proportional to 133,770,088 and 206,742,520

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Solution

The third proportional to 133,770,088 and 206,742,520 is: 319,521,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770,088 : 206,742,520 = 206,742,520 : x
  2. Step 2: Convert to fraction form
    133,770,088/206,742,520 = 206,742,520/x
  3. Step 3: Cross multiply
    133,770,088x = 206,742,520 × 206,742,520
  4. Step 4: Simplify right side
    133,770,088x = 42,742,469,575,950,400
  5. Step 5: Solve for x
    x = 42,742,469,575,950,400/133,770,088
  6. Step 6: Final answer
    x = 319,521,876.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.