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Finding the Third Proportional to 60,411.50 and 142,136.75

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Solution

The third proportional to 60,411.50 and 142,136.75 is: 334,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,411.50 : 142,136.75 = 142,136.75 : x
  2. Step 2: Convert to fraction form
    60,411.50/142,136.75 = 142,136.75/x
  3. Step 3: Cross multiply
    60,411.50x = 142,136.75 × 142,136.75
  4. Step 4: Simplify right side
    60,411.50x = 20,202,855,700.56
  5. Step 5: Solve for x
    x = 20,202,855,700.56/60,411.50
  6. Step 6: Final answer
    x = 334,420.69

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.