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Finding the Third Proportional to 130.38 and 277.63

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Solution

The third proportional to 130.38 and 277.63 is: 591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 277.63 = 277.63 : x
  2. Step 2: Convert to fraction form
    130.38/277.63 = 277.63/x
  3. Step 3: Cross multiply
    130.38x = 277.63 × 277.63
  4. Step 4: Simplify right side
    130.38x = 77,075.64
  5. Step 5: Solve for x
    x = 77,075.64/130.38
  6. Step 6: Final answer
    x = 591.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.