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Finding the Third Proportional to 111,888,023 and 242,162,425

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Solution

The third proportional to 111,888,023 and 242,162,425 is: 524,119,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888,023 : 242,162,425 = 242,162,425 : x
  2. Step 2: Convert to fraction form
    111,888,023/242,162,425 = 242,162,425/x
  3. Step 3: Cross multiply
    111,888,023x = 242,162,425 × 242,162,425
  4. Step 4: Simplify right side
    111,888,023x = 58,642,640,081,880,624
  5. Step 5: Solve for x
    x = 58,642,640,081,880,624/111,888,023
  6. Step 6: Final answer
    x = 524,119,012.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.