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Finding the Third Proportional to 111,440,191.50 and 234,160,767

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Solution

The third proportional to 111,440,191.50 and 234,160,767 is: 492,024,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,440,191.50 : 234,160,767 = 234,160,767 : x
  2. Step 2: Convert to fraction form
    111,440,191.50/234,160,767 = 234,160,767/x
  3. Step 3: Cross multiply
    111,440,191.50x = 234,160,767 × 234,160,767
  4. Step 4: Simplify right side
    111,440,191.50x = 54,831,264,802,028,288
  5. Step 5: Solve for x
    x = 54,831,264,802,028,288/111,440,191.50
  6. Step 6: Final answer
    x = 492,024,143.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.