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Finding the Third Proportional to 335,502 and 730,056

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Solution

The third proportional to 335,502 and 730,056 is: 1,588,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,502 : 730,056 = 730,056 : x
  2. Step 2: Convert to fraction form
    335,502/730,056 = 730,056/x
  3. Step 3: Cross multiply
    335,502x = 730,056 × 730,056
  4. Step 4: Simplify right side
    335,502x = 532,981,763,136
  5. Step 5: Solve for x
    x = 532,981,763,136/335,502
  6. Step 6: Final answer
    x = 1,588,609.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.