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Finding the Third Proportional to 657.49 and 1,405.48

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Solution

The third proportional to 657.49 and 1,405.48 is: 3,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.49 : 1,405.48 = 1,405.48 : x
  2. Step 2: Convert to fraction form
    657.49/1,405.48 = 1,405.48/x
  3. Step 3: Cross multiply
    657.49x = 1,405.48 × 1,405.48
  4. Step 4: Simplify right side
    657.49x = 1,975,364.37
  5. Step 5: Solve for x
    x = 1,975,364.37/657.49
  6. Step 6: Final answer
    x = 3,004.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.