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Finding the Third Proportional to 149,688 and 322,704

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Solution

The third proportional to 149,688 and 322,704 is: 695,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,688 : 322,704 = 322,704 : x
  2. Step 2: Convert to fraction form
    149,688/322,704 = 322,704/x
  3. Step 3: Cross multiply
    149,688x = 322,704 × 322,704
  4. Step 4: Simplify right side
    149,688x = 104,137,871,616
  5. Step 5: Solve for x
    x = 104,137,871,616/149,688
  6. Step 6: Final answer
    x = 695,699.53

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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.