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Finding the Third Proportional to 480,222 and 644,436

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Solution

The third proportional to 480,222 and 644,436 is: 864,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,222 : 644,436 = 644,436 : x
  2. Step 2: Convert to fraction form
    480,222/644,436 = 644,436/x
  3. Step 3: Cross multiply
    480,222x = 644,436 × 644,436
  4. Step 4: Simplify right side
    480,222x = 415,297,758,096
  5. Step 5: Solve for x
    x = 415,297,758,096/480,222
  6. Step 6: Final answer
    x = 864,803.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.