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Finding the Third Proportional to 111,888,021 and 242,162,421

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Solution

The third proportional to 111,888,021 and 242,162,421 is: 524,119,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,888,021 : 242,162,421 = 242,162,421 : x
  2. Step 2: Convert to fraction form
    111,888,021/242,162,421 = 242,162,421/x
  3. Step 3: Cross multiply
    111,888,021x = 242,162,421 × 242,162,421
  4. Step 4: Simplify right side
    111,888,021x = 58,642,638,144,581,240
  5. Step 5: Solve for x
    x = 58,642,638,144,581,240/111,888,021
  6. Step 6: Final answer
    x = 524,119,004.17

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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.