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Finding the Third Proportional to 148,905 and 321,138

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Solution

The third proportional to 148,905 and 321,138 is: 692,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,905 : 321,138 = 321,138 : x
  2. Step 2: Convert to fraction form
    148,905/321,138 = 321,138/x
  3. Step 3: Cross multiply
    148,905x = 321,138 × 321,138
  4. Step 4: Simplify right side
    148,905x = 103,129,615,044
  5. Step 5: Solve for x
    x = 103,129,615,044/148,905
  6. Step 6: Final answer
    x = 692,586.65

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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.