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Finding the Third Proportional to 670.25 and 1,428.25

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Solution

The third proportional to 670.25 and 1,428.25 is: 3,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.25 : 1,428.25 = 1,428.25 : x
  2. Step 2: Convert to fraction form
    670.25/1,428.25 = 1,428.25/x
  3. Step 3: Cross multiply
    670.25x = 1,428.25 × 1,428.25
  4. Step 4: Simplify right side
    670.25x = 2,039,898.06
  5. Step 5: Solve for x
    x = 2,039,898.06/670.25
  6. Step 6: Final answer
    x = 3,043.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.