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Finding the Third Proportional to 330,378 and 721,440

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Solution

The third proportional to 330,378 and 721,440 is: 1,575,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,378 : 721,440 = 721,440 : x
  2. Step 2: Convert to fraction form
    330,378/721,440 = 721,440/x
  3. Step 3: Cross multiply
    330,378x = 721,440 × 721,440
  4. Step 4: Simplify right side
    330,378x = 520,475,673,600
  5. Step 5: Solve for x
    x = 520,475,673,600/330,378
  6. Step 6: Final answer
    x = 1,575,394.47

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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.