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Finding the Third Proportional to 149,438 and 312,724

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Solution

The third proportional to 149,438 and 312,724 is: 654,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,438 : 312,724 = 312,724 : x
  2. Step 2: Convert to fraction form
    149,438/312,724 = 312,724/x
  3. Step 3: Cross multiply
    149,438x = 312,724 × 312,724
  4. Step 4: Simplify right side
    149,438x = 97,796,300,176
  5. Step 5: Solve for x
    x = 97,796,300,176/149,438
  6. Step 6: Final answer
    x = 654,427.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.