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Finding the Third Proportional to 153,520,923 and 219,536,728.50

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Solution

The third proportional to 153,520,923 and 219,536,728.50 is: 313,940,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,520,923 : 219,536,728.50 = 219,536,728.50 : x
  2. Step 2: Convert to fraction form
    153,520,923/219,536,728.50 = 219,536,728.50/x
  3. Step 3: Cross multiply
    153,520,923x = 219,536,728.50 × 219,536,728.50
  4. Step 4: Simplify right side
    153,520,923x = 48,196,375,160,482,712
  5. Step 5: Solve for x
    x = 48,196,375,160,482,712/153,520,923
  6. Step 6: Final answer
    x = 313,940,108.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.