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Finding the Third Proportional to 434.95 and 918.42

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Solution

The third proportional to 434.95 and 918.42 is: 1,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 918.42 = 918.42 : x
  2. Step 2: Convert to fraction form
    434.95/918.42 = 918.42/x
  3. Step 3: Cross multiply
    434.95x = 918.42 × 918.42
  4. Step 4: Simplify right side
    434.95x = 843,498.74
  5. Step 5: Solve for x
    x = 843,498.74/434.95
  6. Step 6: Final answer
    x = 1,939.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.