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Finding the Third Proportional to 48,476,406 and 103,671,276

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Solution

The third proportional to 48,476,406 and 103,671,276 is: 221,710,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,406 : 103,671,276 = 103,671,276 : x
  2. Step 2: Convert to fraction form
    48,476,406/103,671,276 = 103,671,276/x
  3. Step 3: Cross multiply
    48,476,406x = 103,671,276 × 103,671,276
  4. Step 4: Simplify right side
    48,476,406x = 10,747,733,467,468,176
  5. Step 5: Solve for x
    x = 10,747,733,467,468,176/48,476,406
  6. Step 6: Final answer
    x = 221,710,608.40

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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.