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Finding the Third Proportional to 149,890 and 321,148

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Solution

The third proportional to 149,890 and 321,148 is: 688,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890 : 321,148 = 321,148 : x
  2. Step 2: Convert to fraction form
    149,890/321,148 = 321,148/x
  3. Step 3: Cross multiply
    149,890x = 321,148 × 321,148
  4. Step 4: Simplify right side
    149,890x = 103,136,037,904
  5. Step 5: Solve for x
    x = 103,136,037,904/149,890
  6. Step 6: Final answer
    x = 688,078.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.