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Finding the Third Proportional to 289 and 702

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Solution

The third proportional to 289 and 702 is: 1,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 702 = 702 : x
  2. Step 2: Convert to fraction form
    289/702 = 702/x
  3. Step 3: Cross multiply
    289x = 702 × 702
  4. Step 4: Simplify right side
    289x = 492,804
  5. Step 5: Solve for x
    x = 492,804/289
  6. Step 6: Final answer
    x = 1,705.20

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.