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Finding the Third Proportional to 245.88 and 535.13

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Solution

The third proportional to 245.88 and 535.13 is: 1,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.88 : 535.13 = 535.13 : x
  2. Step 2: Convert to fraction form
    245.88/535.13 = 535.13/x
  3. Step 3: Cross multiply
    245.88x = 535.13 × 535.13
  4. Step 4: Simplify right side
    245.88x = 286,358.77
  5. Step 5: Solve for x
    x = 286,358.77/245.88
  6. Step 6: Final answer
    x = 1,164.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.