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Finding the Third Proportional to 155,883,042 and 217,933,668

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Solution

The third proportional to 155,883,042 and 217,933,668 is: 304,684,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,883,042 : 217,933,668 = 217,933,668 : x
  2. Step 2: Convert to fraction form
    155,883,042/217,933,668 = 217,933,668/x
  3. Step 3: Cross multiply
    155,883,042x = 217,933,668 × 217,933,668
  4. Step 4: Simplify right side
    155,883,042x = 47,495,083,647,934,224
  5. Step 5: Solve for x
    x = 47,495,083,647,934,224/155,883,042
  6. Step 6: Final answer
    x = 304,684,095.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.