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Finding the Third Proportional to 145,566 and 220,977

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Solution

The third proportional to 145,566 and 220,977 is: 335,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,566 : 220,977 = 220,977 : x
  2. Step 2: Convert to fraction form
    145,566/220,977 = 220,977/x
  3. Step 3: Cross multiply
    145,566x = 220,977 × 220,977
  4. Step 4: Simplify right side
    145,566x = 48,830,834,529
  5. Step 5: Solve for x
    x = 48,830,834,529/145,566
  6. Step 6: Final answer
    x = 335,454.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.