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Finding the Third Proportional to 438.84 and 931.80

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Solution

The third proportional to 438.84 and 931.80 is: 1,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.84 : 931.80 = 931.80 : x
  2. Step 2: Convert to fraction form
    438.84/931.80 = 931.80/x
  3. Step 3: Cross multiply
    438.84x = 931.80 × 931.80
  4. Step 4: Simplify right side
    438.84x = 868,259.98
  5. Step 5: Solve for x
    x = 868,259.98/438.84
  6. Step 6: Final answer
    x = 1,978.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.