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Finding the Third Proportional to 594.35 and 1,310.20

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Solution

The third proportional to 594.35 and 1,310.20 is: 2,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.35 : 1,310.20 = 1,310.20 : x
  2. Step 2: Convert to fraction form
    594.35/1,310.20 = 1,310.20/x
  3. Step 3: Cross multiply
    594.35x = 1,310.20 × 1,310.20
  4. Step 4: Simplify right side
    594.35x = 1,716,632.23
  5. Step 5: Solve for x
    x = 1,716,632.23/594.35
  6. Step 6: Final answer
    x = 2,888.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.