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Finding the Third Proportional to 245,229,636 and 408,699,708

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Solution

The third proportional to 245,229,636 and 408,699,708 is: 681,138,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,229,636 : 408,699,708 = 408,699,708 : x
  2. Step 2: Convert to fraction form
    245,229,636/408,699,708 = 408,699,708/x
  3. Step 3: Cross multiply
    245,229,636x = 408,699,708 × 408,699,708
  4. Step 4: Simplify right side
    245,229,636x = 167,035,451,319,285,248
  5. Step 5: Solve for x
    x = 167,035,451,319,285,248/245,229,636
  6. Step 6: Final answer
    x = 681,138,927.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.