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Finding the Third Proportional to 424.62 and 917.58

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Solution

The third proportional to 424.62 and 917.58 is: 1,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.62 : 917.58 = 917.58 : x
  2. Step 2: Convert to fraction form
    424.62/917.58 = 917.58/x
  3. Step 3: Cross multiply
    424.62x = 917.58 × 917.58
  4. Step 4: Simplify right side
    424.62x = 841,949.62
  5. Step 5: Solve for x
    x = 841,949.62/424.62
  6. Step 6: Final answer
    x = 1,982.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.