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Finding the Third Proportional to 152,300 and 334,972

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Solution

The third proportional to 152,300 and 334,972 is: 736,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,300 : 334,972 = 334,972 : x
  2. Step 2: Convert to fraction form
    152,300/334,972 = 334,972/x
  3. Step 3: Cross multiply
    152,300x = 334,972 × 334,972
  4. Step 4: Simplify right side
    152,300x = 112,206,240,784
  5. Step 5: Solve for x
    x = 112,206,240,784/152,300
  6. Step 6: Final answer
    x = 736,744.85

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