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Finding the Third Proportional to 292.34 and 639.64

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Solution

The third proportional to 292.34 and 639.64 is: 1,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 639.64 = 639.64 : x
  2. Step 2: Convert to fraction form
    292.34/639.64 = 639.64/x
  3. Step 3: Cross multiply
    292.34x = 639.64 × 639.64
  4. Step 4: Simplify right side
    292.34x = 409,140.13
  5. Step 5: Solve for x
    x = 409,140.13/292.34
  6. Step 6: Final answer
    x = 1,399.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.