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Finding the Third Proportional to 623.81 and 979.03

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Solution

The third proportional to 623.81 and 979.03 is: 1,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.81 : 979.03 = 979.03 : x
  2. Step 2: Convert to fraction form
    623.81/979.03 = 979.03/x
  3. Step 3: Cross multiply
    623.81x = 979.03 × 979.03
  4. Step 4: Simplify right side
    623.81x = 958,502.19
  5. Step 5: Solve for x
    x = 958,502.19/623.81
  6. Step 6: Final answer
    x = 1,536.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.