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Finding the Third Proportional to 621.13 and 975.88

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Solution

The third proportional to 621.13 and 975.88 is: 1,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.13 : 975.88 = 975.88 : x
  2. Step 2: Convert to fraction form
    621.13/975.88 = 975.88/x
  3. Step 3: Cross multiply
    621.13x = 975.88 × 975.88
  4. Step 4: Simplify right side
    621.13x = 952,332.02
  5. Step 5: Solve for x
    x = 952,332.02/621.13
  6. Step 6: Final answer
    x = 1,533.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.