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Finding the Third Proportional to 337,378 and 698,628

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Solution

The third proportional to 337,378 and 698,628 is: 1,446,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,378 : 698,628 = 698,628 : x
  2. Step 2: Convert to fraction form
    337,378/698,628 = 698,628/x
  3. Step 3: Cross multiply
    337,378x = 698,628 × 698,628
  4. Step 4: Simplify right side
    337,378x = 488,081,082,384
  5. Step 5: Solve for x
    x = 488,081,082,384/337,378
  6. Step 6: Final answer
    x = 1,446,689.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.