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Finding the Third Proportional to 300,911,622 and 415,791,502.50

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Solution

The third proportional to 300,911,622 and 415,791,502.50 is: 574,529,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911,622 : 415,791,502.50 = 415,791,502.50 : x
  2. Step 2: Convert to fraction form
    300,911,622/415,791,502.50 = 415,791,502.50/x
  3. Step 3: Cross multiply
    300,911,622x = 415,791,502.50 × 415,791,502.50
  4. Step 4: Simplify right side
    300,911,622x = 172,882,573,551,207,520
  5. Step 5: Solve for x
    x = 172,882,573,551,207,520/300,911,622
  6. Step 6: Final answer
    x = 574,529,399.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.