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Finding the Third Proportional to 300,707,885 and 478,490,331

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Solution

The third proportional to 300,707,885 and 478,490,331 is: 761,380,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,707,885 : 478,490,331 = 478,490,331 : x
  2. Step 2: Convert to fraction form
    300,707,885/478,490,331 = 478,490,331/x
  3. Step 3: Cross multiply
    300,707,885x = 478,490,331 × 478,490,331
  4. Step 4: Simplify right side
    300,707,885x = 228,952,996,860,489,568
  5. Step 5: Solve for x
    x = 228,952,996,860,489,568/300,707,885
  6. Step 6: Final answer
    x = 761,380,091.05

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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.