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Finding the Third Proportional to 509.73 and 623.64

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Solution

The third proportional to 509.73 and 623.64 is: 763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.73 : 623.64 = 623.64 : x
  2. Step 2: Convert to fraction form
    509.73/623.64 = 623.64/x
  3. Step 3: Cross multiply
    509.73x = 623.64 × 623.64
  4. Step 4: Simplify right side
    509.73x = 388,922.76
  5. Step 5: Solve for x
    x = 388,922.76/509.73
  6. Step 6: Final answer
    x = 763.00

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.