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Finding the Third Proportional to 133,072 and 286,880

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Solution

The third proportional to 133,072 and 286,880 is: 618,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 286,880 = 286,880 : x
  2. Step 2: Convert to fraction form
    133,072/286,880 = 286,880/x
  3. Step 3: Cross multiply
    133,072x = 286,880 × 286,880
  4. Step 4: Simplify right side
    133,072x = 82,300,134,400
  5. Step 5: Solve for x
    x = 82,300,134,400/133,072
  6. Step 6: Final answer
    x = 618,463.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.