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Finding the Third Proportional to 149,690 and 322,708

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Solution

The third proportional to 149,690 and 322,708 is: 695,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,690 : 322,708 = 322,708 : x
  2. Step 2: Convert to fraction form
    149,690/322,708 = 322,708/x
  3. Step 3: Cross multiply
    149,690x = 322,708 × 322,708
  4. Step 4: Simplify right side
    149,690x = 104,140,453,264
  5. Step 5: Solve for x
    x = 104,140,453,264/149,690
  6. Step 6: Final answer
    x = 695,707.48

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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.