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Finding the Third Proportional to 133,770,042 and 206,742,456

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Solution

The third proportional to 133,770,042 and 206,742,456 is: 319,521,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770,042 : 206,742,456 = 206,742,456 : x
  2. Step 2: Convert to fraction form
    133,770,042/206,742,456 = 206,742,456/x
  3. Step 3: Cross multiply
    133,770,042x = 206,742,456 × 206,742,456
  4. Step 4: Simplify right side
    133,770,042x = 42,742,443,112,911,936
  5. Step 5: Solve for x
    x = 42,742,443,112,911,936/133,770,042
  6. Step 6: Final answer
    x = 319,521,788.84

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