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Finding the Third Proportional to 578.81 and 890.53

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Solution

The third proportional to 578.81 and 890.53 is: 1,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 890.53 = 890.53 : x
  2. Step 2: Convert to fraction form
    578.81/890.53 = 890.53/x
  3. Step 3: Cross multiply
    578.81x = 890.53 × 890.53
  4. Step 4: Simplify right side
    578.81x = 793,045.91
  5. Step 5: Solve for x
    x = 793,045.91/578.81
  6. Step 6: Final answer
    x = 1,370.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.