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Finding the Third Proportional to 300,753,110 and 478,557,311

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Solution

The third proportional to 300,753,110 and 478,557,311 is: 761,478,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,110 : 478,557,311 = 478,557,311 : x
  2. Step 2: Convert to fraction form
    300,753,110/478,557,311 = 478,557,311/x
  3. Step 3: Cross multiply
    300,753,110x = 478,557,311 × 478,557,311
  4. Step 4: Simplify right side
    300,753,110x = 229,017,099,911,550,720
  5. Step 5: Solve for x
    x = 229,017,099,911,550,720/300,753,110
  6. Step 6: Final answer
    x = 761,478,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.