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Finding the Third Proportional to 938.30 and 1,312.77

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Solution

The third proportional to 938.30 and 1,312.77 is: 1,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.30 : 1,312.77 = 1,312.77 : x
  2. Step 2: Convert to fraction form
    938.30/1,312.77 = 1,312.77/x
  3. Step 3: Cross multiply
    938.30x = 1,312.77 × 1,312.77
  4. Step 4: Simplify right side
    938.30x = 1,723,363.84
  5. Step 5: Solve for x
    x = 1,723,363.84/938.30
  6. Step 6: Final answer
    x = 1,836.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.