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Finding the Third Proportional to 657.19 and 1,384.69

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Solution

The third proportional to 657.19 and 1,384.69 is: 2,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.19 : 1,384.69 = 1,384.69 : x
  2. Step 2: Convert to fraction form
    657.19/1,384.69 = 1,384.69/x
  3. Step 3: Cross multiply
    657.19x = 1,384.69 × 1,384.69
  4. Step 4: Simplify right side
    657.19x = 1,917,359.47
  5. Step 5: Solve for x
    x = 1,917,359.47/657.19
  6. Step 6: Final answer
    x = 2,917.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.