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Finding the Third Proportional to 783.38 and 1,851.94

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Solution

The third proportional to 783.38 and 1,851.94 is: 4,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.38 : 1,851.94 = 1,851.94 : x
  2. Step 2: Convert to fraction form
    783.38/1,851.94 = 1,851.94/x
  3. Step 3: Cross multiply
    783.38x = 1,851.94 × 1,851.94
  4. Step 4: Simplify right side
    783.38x = 3,429,672.50
  5. Step 5: Solve for x
    x = 3,429,672.50/783.38
  6. Step 6: Final answer
    x = 4,378.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.