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Finding the Third Proportional to 420.08 and 829.83

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Solution

The third proportional to 420.08 and 829.83 is: 1,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.08 : 829.83 = 829.83 : x
  2. Step 2: Convert to fraction form
    420.08/829.83 = 829.83/x
  3. Step 3: Cross multiply
    420.08x = 829.83 × 829.83
  4. Step 4: Simplify right side
    420.08x = 688,614.72
  5. Step 5: Solve for x
    x = 688,614.72/420.08
  6. Step 6: Final answer
    x = 1,639.24

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.