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Finding the Third Proportional to 438.68 and 945.70

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Solution

The third proportional to 438.68 and 945.70 is: 2,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.68 : 945.70 = 945.70 : x
  2. Step 2: Convert to fraction form
    438.68/945.70 = 945.70/x
  3. Step 3: Cross multiply
    438.68x = 945.70 × 945.70
  4. Step 4: Simplify right side
    438.68x = 894,354.40
  5. Step 5: Solve for x
    x = 894,354.40/438.68
  6. Step 6: Final answer
    x = 2,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.