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Finding the Third Proportional to 118,340,479,251 and 253,436,947,683

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Solution

The third proportional to 118,340,479,251 and 253,436,947,683 is: 542,758,376,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,340,479,251 : 253,436,947,683 = 253,436,947,683 : x
  2. Step 2: Convert to fraction form
    118,340,479,251/253,436,947,683 = 253,436,947,683/x
  3. Step 3: Cross multiply
    118,340,479,251x = 253,436,947,683 × 253,436,947,683
  4. Step 4: Simplify right side
    118,340,479,251x = 64,230,286,450,875,682,521,088
  5. Step 5: Solve for x
    x = 64,230,286,450,875,682,521,088/118,340,479,251
  6. Step 6: Final answer
    x = 542,758,376,993.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.