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Finding the Third Proportional to 131,286,106 and 285,690,260

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Solution

The third proportional to 131,286,106 and 285,690,260 is: 621,687,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286,106 : 285,690,260 = 285,690,260 : x
  2. Step 2: Convert to fraction form
    131,286,106/285,690,260 = 285,690,260/x
  3. Step 3: Cross multiply
    131,286,106x = 285,690,260 × 285,690,260
  4. Step 4: Simplify right side
    131,286,106x = 81,618,924,658,867,600
  5. Step 5: Solve for x
    x = 81,618,924,658,867,600/131,286,106
  6. Step 6: Final answer
    x = 621,687,451.52

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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.