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Finding the Third Proportional to 1,337.87 and 2,130.64

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Solution

The third proportional to 1,337.87 and 2,130.64 is: 3,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.87 : 2,130.64 = 2,130.64 : x
  2. Step 2: Convert to fraction form
    1,337.87/2,130.64 = 2,130.64/x
  3. Step 3: Cross multiply
    1,337.87x = 2,130.64 × 2,130.64
  4. Step 4: Simplify right side
    1,337.87x = 4,539,646.12
  5. Step 5: Solve for x
    x = 4,539,646.12/1,337.87
  6. Step 6: Final answer
    x = 3,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.