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Finding the Third Proportional to 420.84 and 920.06

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Solution

The third proportional to 420.84 and 920.06 is: 2,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 920.06 = 920.06 : x
  2. Step 2: Convert to fraction form
    420.84/920.06 = 920.06/x
  3. Step 3: Cross multiply
    420.84x = 920.06 × 920.06
  4. Step 4: Simplify right side
    420.84x = 846,515.00
  5. Step 5: Solve for x
    x = 846,515.00/420.84
  6. Step 6: Final answer
    x = 2,011.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.