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Finding the Third Proportional to 138,809,716 and 304,855,818

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Solution

The third proportional to 138,809,716 and 304,855,818 is: 669,528,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809,716 : 304,855,818 = 304,855,818 : x
  2. Step 2: Convert to fraction form
    138,809,716/304,855,818 = 304,855,818/x
  3. Step 3: Cross multiply
    138,809,716x = 304,855,818 × 304,855,818
  4. Step 4: Simplify right side
    138,809,716x = 92,937,069,768,449,120
  5. Step 5: Solve for x
    x = 92,937,069,768,449,120/138,809,716
  6. Step 6: Final answer
    x = 669,528,563.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.