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Finding the Third Proportional to 1,047 and 1,702

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Solution

The third proportional to 1,047 and 1,702 is: 2,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047 : 1,702 = 1,702 : x
  2. Step 2: Convert to fraction form
    1,047/1,702 = 1,702/x
  3. Step 3: Cross multiply
    1,047x = 1,702 × 1,702
  4. Step 4: Simplify right side
    1,047x = 2,896,804
  5. Step 5: Solve for x
    x = 2,896,804/1,047
  6. Step 6: Final answer
    x = 2,766.77

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.