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Finding the Third Proportional to 76,621,180 and 170,248,470

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Solution

The third proportional to 76,621,180 and 170,248,470 is: 378,283,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,621,180 : 170,248,470 = 170,248,470 : x
  2. Step 2: Convert to fraction form
    76,621,180/170,248,470 = 170,248,470/x
  3. Step 3: Cross multiply
    76,621,180x = 170,248,470 × 170,248,470
  4. Step 4: Simplify right side
    76,621,180x = 28,984,541,537,340,900
  5. Step 5: Solve for x
    x = 28,984,541,537,340,900/76,621,180
  6. Step 6: Final answer
    x = 378,283,674.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.