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Finding the Third Proportional to 149,594 and 320,207

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Solution

The third proportional to 149,594 and 320,207 is: 685,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,594 : 320,207 = 320,207 : x
  2. Step 2: Convert to fraction form
    149,594/320,207 = 320,207/x
  3. Step 3: Cross multiply
    149,594x = 320,207 × 320,207
  4. Step 4: Simplify right side
    149,594x = 102,532,522,849
  5. Step 5: Solve for x
    x = 102,532,522,849/149,594
  6. Step 6: Final answer
    x = 685,405.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.