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Finding the Third Proportional to 103,311,246 and 224,782,026

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Solution

The third proportional to 103,311,246 and 224,782,026 is: 489,075,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,311,246 : 224,782,026 = 224,782,026 : x
  2. Step 2: Convert to fraction form
    103,311,246/224,782,026 = 224,782,026/x
  3. Step 3: Cross multiply
    103,311,246x = 224,782,026 × 224,782,026
  4. Step 4: Simplify right side
    103,311,246x = 50,526,959,212,664,672
  5. Step 5: Solve for x
    x = 50,526,959,212,664,672/103,311,246
  6. Step 6: Final answer
    x = 489,075,112.04

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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.