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Finding the Third Proportional to 512.58 and 761.06

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Solution

The third proportional to 512.58 and 761.06 is: 1,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 761.06 = 761.06 : x
  2. Step 2: Convert to fraction form
    512.58/761.06 = 761.06/x
  3. Step 3: Cross multiply
    512.58x = 761.06 × 761.06
  4. Step 4: Simplify right side
    512.58x = 579,216.13
  5. Step 5: Solve for x
    x = 579,216.13/512.58
  6. Step 6: Final answer
    x = 1,130.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.