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Finding the Third Proportional to 149,548 and 321,020

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Solution

The third proportional to 149,548 and 321,020 is: 689,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,548 : 321,020 = 321,020 : x
  2. Step 2: Convert to fraction form
    149,548/321,020 = 321,020/x
  3. Step 3: Cross multiply
    149,548x = 321,020 × 321,020
  4. Step 4: Simplify right side
    149,548x = 103,053,840,400
  5. Step 5: Solve for x
    x = 103,053,840,400/149,548
  6. Step 6: Final answer
    x = 689,102.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.