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Finding the Third Proportional to 152,168 and 334,710

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Solution

The third proportional to 152,168 and 334,710 is: 736,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,168 : 334,710 = 334,710 : x
  2. Step 2: Convert to fraction form
    152,168/334,710 = 334,710/x
  3. Step 3: Cross multiply
    152,168x = 334,710 × 334,710
  4. Step 4: Simplify right side
    152,168x = 112,030,784,100
  5. Step 5: Solve for x
    x = 112,030,784,100/152,168
  6. Step 6: Final answer
    x = 736,230.90

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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.