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Finding the Third Proportional to 103,435,544 and 225,031,312

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Solution

The third proportional to 103,435,544 and 225,031,312 is: 489,571,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,544 : 225,031,312 = 225,031,312 : x
  2. Step 2: Convert to fraction form
    103,435,544/225,031,312 = 225,031,312/x
  3. Step 3: Cross multiply
    103,435,544x = 225,031,312 × 225,031,312
  4. Step 4: Simplify right side
    103,435,544x = 50,639,091,380,441,344
  5. Step 5: Solve for x
    x = 50,639,091,380,441,344/103,435,544
  6. Step 6: Final answer
    x = 489,571,470.52

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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.