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Finding the Third Proportional to 287.30 and 431.58

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Solution

The third proportional to 287.30 and 431.58 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 431.58 = 431.58 : x
  2. Step 2: Convert to fraction form
    287.30/431.58 = 431.58/x
  3. Step 3: Cross multiply
    287.30x = 431.58 × 431.58
  4. Step 4: Simplify right side
    287.30x = 186,259.68
  5. Step 5: Solve for x
    x = 186,259.68/287.30
  6. Step 6: Final answer
    x = 648.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.