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Finding the Third Proportional to 147.34 and 290.99

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Solution

The third proportional to 147.34 and 290.99 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.34 : 290.99 = 290.99 : x
  2. Step 2: Convert to fraction form
    147.34/290.99 = 290.99/x
  3. Step 3: Cross multiply
    147.34x = 290.99 × 290.99
  4. Step 4: Simplify right side
    147.34x = 84,674.18
  5. Step 5: Solve for x
    x = 84,674.18/147.34
  6. Step 6: Final answer
    x = 574.69

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.