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Finding the Third Proportional to 623.00 and 1,355.80

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Solution

The third proportional to 623.00 and 1,355.80 is: 2,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.00 : 1,355.80 = 1,355.80 : x
  2. Step 2: Convert to fraction form
    623.00/1,355.80 = 1,355.80/x
  3. Step 3: Cross multiply
    623.00x = 1,355.80 × 1,355.80
  4. Step 4: Simplify right side
    623.00x = 1,838,195.76
  5. Step 5: Solve for x
    x = 1,838,195.76/623.00
  6. Step 6: Final answer
    x = 2,950.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.