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Finding the Third Proportional to 772.45 and 1,130.41

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Solution

The third proportional to 772.45 and 1,130.41 is: 1,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.45 : 1,130.41 = 1,130.41 : x
  2. Step 2: Convert to fraction form
    772.45/1,130.41 = 1,130.41/x
  3. Step 3: Cross multiply
    772.45x = 1,130.41 × 1,130.41
  4. Step 4: Simplify right side
    772.45x = 1,277,835.95
  5. Step 5: Solve for x
    x = 1,277,835.95/772.45
  6. Step 6: Final answer
    x = 1,654.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.