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Finding the Third Proportional to 103,310,880 and 224,781,401

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Solution

The third proportional to 103,310,880 and 224,781,401 is: 489,074,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,310,880 : 224,781,401 = 224,781,401 : x
  2. Step 2: Convert to fraction form
    103,310,880/224,781,401 = 224,781,401/x
  3. Step 3: Cross multiply
    103,310,880x = 224,781,401 × 224,781,401
  4. Step 4: Simplify right side
    103,310,880x = 50,526,678,235,522,800
  5. Step 5: Solve for x
    x = 50,526,678,235,522,800/103,310,880
  6. Step 6: Final answer
    x = 489,074,124.97

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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.