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Finding the Third Proportional to 121,342,703 and 262,078,491

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Solution

The third proportional to 121,342,703 and 262,078,491 is: 566,042,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342,703 : 262,078,491 = 262,078,491 : x
  2. Step 2: Convert to fraction form
    121,342,703/262,078,491 = 262,078,491/x
  3. Step 3: Cross multiply
    121,342,703x = 262,078,491 × 262,078,491
  4. Step 4: Simplify right side
    121,342,703x = 68,685,135,444,837,080
  5. Step 5: Solve for x
    x = 68,685,135,444,837,080/121,342,703
  6. Step 6: Final answer
    x = 566,042,569.90

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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.