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Finding the Third Proportional to 153,070 and 324,350

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Solution

The third proportional to 153,070 and 324,350 is: 687,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,070 : 324,350 = 324,350 : x
  2. Step 2: Convert to fraction form
    153,070/324,350 = 324,350/x
  3. Step 3: Cross multiply
    153,070x = 324,350 × 324,350
  4. Step 4: Simplify right side
    153,070x = 105,202,922,500
  5. Step 5: Solve for x
    x = 105,202,922,500/153,070
  6. Step 6: Final answer
    x = 687,286.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.