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Finding the Third Proportional to 48,476,436 and 103,671,336

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Solution

The third proportional to 48,476,436 and 103,671,336 is: 221,710,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,436 : 103,671,336 = 103,671,336 : x
  2. Step 2: Convert to fraction form
    48,476,436/103,671,336 = 103,671,336/x
  3. Step 3: Cross multiply
    48,476,436x = 103,671,336 × 103,671,336
  4. Step 4: Simplify right side
    48,476,436x = 10,747,745,908,024,896
  5. Step 5: Solve for x
    x = 10,747,745,908,024,896/48,476,436
  6. Step 6: Final answer
    x = 221,710,727.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.