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Finding the Third Proportional to 718.17 and 1,570.92

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Solution

The third proportional to 718.17 and 1,570.92 is: 3,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.17 : 1,570.92 = 1,570.92 : x
  2. Step 2: Convert to fraction form
    718.17/1,570.92 = 1,570.92/x
  3. Step 3: Cross multiply
    718.17x = 1,570.92 × 1,570.92
  4. Step 4: Simplify right side
    718.17x = 2,467,795.54
  5. Step 5: Solve for x
    x = 2,467,795.54/718.17
  6. Step 6: Final answer
    x = 3,436.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.