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Finding the Third Proportional to 221,497,376 and 482,850,640

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Solution

The third proportional to 221,497,376 and 482,850,640 is: 1,052,584,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,497,376 : 482,850,640 = 482,850,640 : x
  2. Step 2: Convert to fraction form
    221,497,376/482,850,640 = 482,850,640/x
  3. Step 3: Cross multiply
    221,497,376x = 482,850,640 × 482,850,640
  4. Step 4: Simplify right side
    221,497,376x = 233,144,740,548,409,600
  5. Step 5: Solve for x
    x = 233,144,740,548,409,600/221,497,376
  6. Step 6: Final answer
    x = 1,052,584,661.54

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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.