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Finding the Third Proportional to 154,194,642 and 211,442,562

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Solution

The third proportional to 154,194,642 and 211,442,562 is: 289,944,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,194,642 : 211,442,562 = 211,442,562 : x
  2. Step 2: Convert to fraction form
    154,194,642/211,442,562 = 211,442,562/x
  3. Step 3: Cross multiply
    154,194,642x = 211,442,562 × 211,442,562
  4. Step 4: Simplify right side
    154,194,642x = 44,707,957,025,123,840
  5. Step 5: Solve for x
    x = 44,707,957,025,123,840/154,194,642
  6. Step 6: Final answer
    x = 289,944,945.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.