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Finding the Third Proportional to 685.75 and 1,570.25

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Solution

The third proportional to 685.75 and 1,570.25 is: 3,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.75 : 1,570.25 = 1,570.25 : x
  2. Step 2: Convert to fraction form
    685.75/1,570.25 = 1,570.25/x
  3. Step 3: Cross multiply
    685.75x = 1,570.25 × 1,570.25
  4. Step 4: Simplify right side
    685.75x = 2,465,685.06
  5. Step 5: Solve for x
    x = 2,465,685.06/685.75
  6. Step 6: Final answer
    x = 3,595.60

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.