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Finding the Third Proportional to 478.83 and 703.05

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Solution

The third proportional to 478.83 and 703.05 is: 1,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.83 : 703.05 = 703.05 : x
  2. Step 2: Convert to fraction form
    478.83/703.05 = 703.05/x
  3. Step 3: Cross multiply
    478.83x = 703.05 × 703.05
  4. Step 4: Simplify right side
    478.83x = 494,285.89
  5. Step 5: Solve for x
    x = 494,285.89/478.83
  6. Step 6: Final answer
    x = 1,032.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.