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Finding the Third Proportional to 612.95 and 920.81

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Solution

The third proportional to 612.95 and 920.81 is: 1,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 920.81 = 920.81 : x
  2. Step 2: Convert to fraction form
    612.95/920.81 = 920.81/x
  3. Step 3: Cross multiply
    612.95x = 920.81 × 920.81
  4. Step 4: Simplify right side
    612.95x = 847,895.66
  5. Step 5: Solve for x
    x = 847,895.66/612.95
  6. Step 6: Final answer
    x = 1,383.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.