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Finding the Third Proportional to 155,883,165 and 217,933,851

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Solution

The third proportional to 155,883,165 and 217,933,851 is: 304,684,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,883,165 : 217,933,851 = 217,933,851 : x
  2. Step 2: Convert to fraction form
    155,883,165/217,933,851 = 217,933,851/x
  3. Step 3: Cross multiply
    155,883,165x = 217,933,851 × 217,933,851
  4. Step 4: Simplify right side
    155,883,165x = 47,495,163,411,690,200
  5. Step 5: Solve for x
    x = 47,495,163,411,690,200/155,883,165
  6. Step 6: Final answer
    x = 304,684,366.73

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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.