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Finding the Third Proportional to 121,132,812 and 262,709,592

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Solution

The third proportional to 121,132,812 and 262,709,592 is: 569,757,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,132,812 : 262,709,592 = 262,709,592 : x
  2. Step 2: Convert to fraction form
    121,132,812/262,709,592 = 262,709,592/x
  3. Step 3: Cross multiply
    121,132,812x = 262,709,592 × 262,709,592
  4. Step 4: Simplify right side
    121,132,812x = 69,016,329,728,806,464
  5. Step 5: Solve for x
    x = 69,016,329,728,806,464/121,132,812
  6. Step 6: Final answer
    x = 569,757,513.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.