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Finding the Third Proportional to 330,513 and 713,502

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Solution

The third proportional to 330,513 and 713,502 is: 1,540,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,513 : 713,502 = 713,502 : x
  2. Step 2: Convert to fraction form
    330,513/713,502 = 713,502/x
  3. Step 3: Cross multiply
    330,513x = 713,502 × 713,502
  4. Step 4: Simplify right side
    330,513x = 509,085,104,004
  5. Step 5: Solve for x
    x = 509,085,104,004/330,513
  6. Step 6: Final answer
    x = 1,540,287.69

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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.