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Finding the Third Proportional to 572.63 and 857.44

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Solution

The third proportional to 572.63 and 857.44 is: 1,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.63 : 857.44 = 857.44 : x
  2. Step 2: Convert to fraction form
    572.63/857.44 = 857.44/x
  3. Step 3: Cross multiply
    572.63x = 857.44 × 857.44
  4. Step 4: Simplify right side
    572.63x = 735,199.07
  5. Step 5: Solve for x
    x = 735,199.07/572.63
  6. Step 6: Final answer
    x = 1,283.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.