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Finding the Third Proportional to 99,808,783 and 217,192,655

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Solution

The third proportional to 99,808,783 and 217,192,655 is: 472,630,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,808,783 : 217,192,655 = 217,192,655 : x
  2. Step 2: Convert to fraction form
    99,808,783/217,192,655 = 217,192,655/x
  3. Step 3: Cross multiply
    99,808,783x = 217,192,655 × 217,192,655
  4. Step 4: Simplify right side
    99,808,783x = 47,172,649,385,949,024
  5. Step 5: Solve for x
    x = 47,172,649,385,949,024/99,808,783
  6. Step 6: Final answer
    x = 472,630,243.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.