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Finding the Third Proportional to 145,304 and 220,129

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Solution

The third proportional to 145,304 and 220,129 is: 333,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,304 : 220,129 = 220,129 : x
  2. Step 2: Convert to fraction form
    145,304/220,129 = 220,129/x
  3. Step 3: Cross multiply
    145,304x = 220,129 × 220,129
  4. Step 4: Simplify right side
    145,304x = 48,456,776,641
  5. Step 5: Solve for x
    x = 48,456,776,641/145,304
  6. Step 6: Final answer
    x = 333,485.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.