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Finding the Third Proportional to 569.25 and 905.16

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Solution

The third proportional to 569.25 and 905.16 is: 1,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.25 : 905.16 = 905.16 : x
  2. Step 2: Convert to fraction form
    569.25/905.16 = 905.16/x
  3. Step 3: Cross multiply
    569.25x = 905.16 × 905.16
  4. Step 4: Simplify right side
    569.25x = 819,307.84
  5. Step 5: Solve for x
    x = 819,307.84/569.25
  6. Step 6: Final answer
    x = 1,439.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.