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Finding the Third Proportional to 1,530.75 and 2,189.63

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Solution

The third proportional to 1,530.75 and 2,189.63 is: 3,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.75 : 2,189.63 = 2,189.63 : x
  2. Step 2: Convert to fraction form
    1,530.75/2,189.63 = 2,189.63/x
  3. Step 3: Cross multiply
    1,530.75x = 2,189.63 × 2,189.63
  4. Step 4: Simplify right side
    1,530.75x = 4,794,457.64
  5. Step 5: Solve for x
    x = 4,794,457.64/1,530.75
  6. Step 6: Final answer
    x = 3,132.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.