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Finding the Third Proportional to 304.36 and 657.40

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Solution

The third proportional to 304.36 and 657.40 is: 1,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.36 : 657.40 = 657.40 : x
  2. Step 2: Convert to fraction form
    304.36/657.40 = 657.40/x
  3. Step 3: Cross multiply
    304.36x = 657.40 × 657.40
  4. Step 4: Simplify right side
    304.36x = 432,172.71
  5. Step 5: Solve for x
    x = 432,172.71/304.36
  6. Step 6: Final answer
    x = 1,419.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.