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Finding the Third Proportional to 148,360 and 321,343

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Solution

The third proportional to 148,360 and 321,343 is: 696,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,360 : 321,343 = 321,343 : x
  2. Step 2: Convert to fraction form
    148,360/321,343 = 321,343/x
  3. Step 3: Cross multiply
    148,360x = 321,343 × 321,343
  4. Step 4: Simplify right side
    148,360x = 103,261,323,649
  5. Step 5: Solve for x
    x = 103,261,323,649/148,360
  6. Step 6: Final answer
    x = 696,018.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.