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Finding the Third Proportional to 156.07 and 287.53

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Solution

The third proportional to 156.07 and 287.53 is: 529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.07 : 287.53 = 287.53 : x
  2. Step 2: Convert to fraction form
    156.07/287.53 = 287.53/x
  3. Step 3: Cross multiply
    156.07x = 287.53 × 287.53
  4. Step 4: Simplify right side
    156.07x = 82,675.90
  5. Step 5: Solve for x
    x = 82,675.90/156.07
  6. Step 6: Final answer
    x = 529.74

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.