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Finding the Third Proportional to 133,770,046 and 206,742,462

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Solution

The third proportional to 133,770,046 and 206,742,462 is: 319,521,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770,046 : 206,742,462 = 206,742,462 : x
  2. Step 2: Convert to fraction form
    133,770,046/206,742,462 = 206,742,462/x
  3. Step 3: Cross multiply
    133,770,046x = 206,742,462 × 206,742,462
  4. Step 4: Simplify right side
    133,770,046x = 42,742,445,593,821,440
  5. Step 5: Solve for x
    x = 42,742,445,593,821,440/133,770,046
  6. Step 6: Final answer
    x = 319,521,797.83

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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.