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Finding the Third Proportional to 906.50 and 1,214.06

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Solution

The third proportional to 906.50 and 1,214.06 is: 1,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.50 : 1,214.06 = 1,214.06 : x
  2. Step 2: Convert to fraction form
    906.50/1,214.06 = 1,214.06/x
  3. Step 3: Cross multiply
    906.50x = 1,214.06 × 1,214.06
  4. Step 4: Simplify right side
    906.50x = 1,473,947.75
  5. Step 5: Solve for x
    x = 1,473,947.75/906.50
  6. Step 6: Final answer
    x = 1,625.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.