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Finding the Third Proportional to 289.65 and 598.46

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Solution

The third proportional to 289.65 and 598.46 is: 1,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.65 : 598.46 = 598.46 : x
  2. Step 2: Convert to fraction form
    289.65/598.46 = 598.46/x
  3. Step 3: Cross multiply
    289.65x = 598.46 × 598.46
  4. Step 4: Simplify right side
    289.65x = 358,160.17
  5. Step 5: Solve for x
    x = 358,160.17/289.65
  6. Step 6: Final answer
    x = 1,236.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.