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Finding the Third Proportional to 135,516 and 296,880

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Solution

The third proportional to 135,516 and 296,880 is: 650,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,516 : 296,880 = 296,880 : x
  2. Step 2: Convert to fraction form
    135,516/296,880 = 296,880/x
  3. Step 3: Cross multiply
    135,516x = 296,880 × 296,880
  4. Step 4: Simplify right side
    135,516x = 88,137,734,400
  5. Step 5: Solve for x
    x = 88,137,734,400/135,516
  6. Step 6: Final answer
    x = 650,386.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.