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Finding the Third Proportional to 148,944 and 321,210

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Solution

The third proportional to 148,944 and 321,210 is: 692,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,944 : 321,210 = 321,210 : x
  2. Step 2: Convert to fraction form
    148,944/321,210 = 321,210/x
  3. Step 3: Cross multiply
    148,944x = 321,210 × 321,210
  4. Step 4: Simplify right side
    148,944x = 103,175,864,100
  5. Step 5: Solve for x
    x = 103,175,864,100/148,944
  6. Step 6: Final answer
    x = 692,715.81

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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.