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Finding the Third Proportional to 423.13 and 623.13

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Solution

The third proportional to 423.13 and 623.13 is: 917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.13 : 623.13 = 623.13 : x
  2. Step 2: Convert to fraction form
    423.13/623.13 = 623.13/x
  3. Step 3: Cross multiply
    423.13x = 623.13 × 623.13
  4. Step 4: Simplify right side
    423.13x = 388,284.77
  5. Step 5: Solve for x
    x = 388,284.77/423.13
  6. Step 6: Final answer
    x = 917.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.