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Finding the Third Proportional to 71,280 and 154,702

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Solution

The third proportional to 71,280 and 154,702 is: 335,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 154,702 = 154,702 : x
  2. Step 2: Convert to fraction form
    71,280/154,702 = 154,702/x
  3. Step 3: Cross multiply
    71,280x = 154,702 × 154,702
  4. Step 4: Simplify right side
    71,280x = 23,932,708,804
  5. Step 5: Solve for x
    x = 23,932,708,804/71,280
  6. Step 6: Final answer
    x = 335,756.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.