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Finding the Third Proportional to 304,697 and 660,240

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Solution

The third proportional to 304,697 and 660,240 is: 1,430,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,697 : 660,240 = 660,240 : x
  2. Step 2: Convert to fraction form
    304,697/660,240 = 660,240/x
  3. Step 3: Cross multiply
    304,697x = 660,240 × 660,240
  4. Step 4: Simplify right side
    304,697x = 435,916,857,600
  5. Step 5: Solve for x
    x = 435,916,857,600/304,697
  6. Step 6: Final answer
    x = 1,430,656.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.