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Finding the Third Proportional to 55,609,876 and 121,105,904

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Solution

The third proportional to 55,609,876 and 121,105,904 is: 263,741,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,609,876 : 121,105,904 = 121,105,904 : x
  2. Step 2: Convert to fraction form
    55,609,876/121,105,904 = 121,105,904/x
  3. Step 3: Cross multiply
    55,609,876x = 121,105,904 × 121,105,904
  4. Step 4: Simplify right side
    55,609,876x = 14,666,639,983,657,216
  5. Step 5: Solve for x
    x = 14,666,639,983,657,216/55,609,876
  6. Step 6: Final answer
    x = 263,741,641.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.