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Finding the Third Proportional to 148,902 and 321,134

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Solution

The third proportional to 148,902 and 321,134 is: 692,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,902 : 321,134 = 321,134 : x
  2. Step 2: Convert to fraction form
    148,902/321,134 = 321,134/x
  3. Step 3: Cross multiply
    148,902x = 321,134 × 321,134
  4. Step 4: Simplify right side
    148,902x = 103,127,045,956
  5. Step 5: Solve for x
    x = 103,127,045,956/148,902
  6. Step 6: Final answer
    x = 692,583.35

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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.