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Finding the Third Proportional to 121,384,716 and 177,468,699

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Solution

The third proportional to 121,384,716 and 177,468,699 is: 259,465,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384,716 : 177,468,699 = 177,468,699 : x
  2. Step 2: Convert to fraction form
    121,384,716/177,468,699 = 177,468,699/x
  3. Step 3: Cross multiply
    121,384,716x = 177,468,699 × 177,468,699
  4. Step 4: Simplify right side
    121,384,716x = 31,495,139,124,752,600
  5. Step 5: Solve for x
    x = 31,495,139,124,752,600/121,384,716
  6. Step 6: Final answer
    x = 259,465,443.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.