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Finding the Third Proportional to 612.25 and 1,421.30

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Solution

The third proportional to 612.25 and 1,421.30 is: 3,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 1,421.30 = 1,421.30 : x
  2. Step 2: Convert to fraction form
    612.25/1,421.30 = 1,421.30/x
  3. Step 3: Cross multiply
    612.25x = 1,421.30 × 1,421.30
  4. Step 4: Simplify right side
    612.25x = 2,020,084.81
  5. Step 5: Solve for x
    x = 2,020,084.81/612.25
  6. Step 6: Final answer
    x = 3,299.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.