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Finding the Third Proportional to 149,712.75 and 306,411

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Solution

The third proportional to 149,712.75 and 306,411 is: 627,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,712.75 : 306,411 = 306,411 : x
  2. Step 2: Convert to fraction form
    149,712.75/306,411 = 306,411/x
  3. Step 3: Cross multiply
    149,712.75x = 306,411 × 306,411
  4. Step 4: Simplify right side
    149,712.75x = 93,887,700,921
  5. Step 5: Solve for x
    x = 93,887,700,921/149,712.75
  6. Step 6: Final answer
    x = 627,118.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.