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Finding the Third Proportional to 149,319 and 322,390

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Solution

The third proportional to 149,319 and 322,390 is: 696,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,319 : 322,390 = 322,390 : x
  2. Step 2: Convert to fraction form
    149,319/322,390 = 322,390/x
  3. Step 3: Cross multiply
    149,319x = 322,390 × 322,390
  4. Step 4: Simplify right side
    149,319x = 103,935,312,100
  5. Step 5: Solve for x
    x = 103,935,312,100/149,319
  6. Step 6: Final answer
    x = 696,062.20

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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.