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Finding the Third Proportional to 151,962 and 324,430

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Solution

The third proportional to 151,962 and 324,430 is: 692,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,962 : 324,430 = 324,430 : x
  2. Step 2: Convert to fraction form
    151,962/324,430 = 324,430/x
  3. Step 3: Cross multiply
    151,962x = 324,430 × 324,430
  4. Step 4: Simplify right side
    151,962x = 105,254,824,900
  5. Step 5: Solve for x
    x = 105,254,824,900/151,962
  6. Step 6: Final answer
    x = 692,639.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.