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Finding the Third Proportional to 50,209,240,074 and 109,244,019,752

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Solution

The third proportional to 50,209,240,074 and 109,244,019,752 is: 237,690,429,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,074 : 109,244,019,752 = 109,244,019,752 : x
  2. Step 2: Convert to fraction form
    50,209,240,074/109,244,019,752 = 109,244,019,752/x
  3. Step 3: Cross multiply
    50,209,240,074x = 109,244,019,752 × 109,244,019,752
  4. Step 4: Simplify right side
    50,209,240,074x = 11,934,255,851,575,365,861,376
  5. Step 5: Solve for x
    x = 11,934,255,851,575,365,861,376/50,209,240,074
  6. Step 6: Final answer
    x = 237,690,429,769.23

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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.