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Finding the Third Proportional to 245 and 360.63

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Solution

The third proportional to 245 and 360.63 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245 : 360.63 = 360.63 : x
  2. Step 2: Convert to fraction form
    245/360.63 = 360.63/x
  3. Step 3: Cross multiply
    245x = 360.63 × 360.63
  4. Step 4: Simplify right side
    245x = 130,050.39
  5. Step 5: Solve for x
    x = 130,050.39/245
  6. Step 6: Final answer
    x = 530.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.