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Finding the Third Proportional to 612.25 and 968.20

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Solution

The third proportional to 612.25 and 968.20 is: 1,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 968.20 = 968.20 : x
  2. Step 2: Convert to fraction form
    612.25/968.20 = 968.20/x
  3. Step 3: Cross multiply
    612.25x = 968.20 × 968.20
  4. Step 4: Simplify right side
    612.25x = 937,417.29
  5. Step 5: Solve for x
    x = 937,417.29/612.25
  6. Step 6: Final answer
    x = 1,531.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.