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Finding the Third Proportional to 299,347.50 and 354,705

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Solution

The third proportional to 299,347.50 and 354,705 is: 420,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,347.50 : 354,705 = 354,705 : x
  2. Step 2: Convert to fraction form
    299,347.50/354,705 = 354,705/x
  3. Step 3: Cross multiply
    299,347.50x = 354,705 × 354,705
  4. Step 4: Simplify right side
    299,347.50x = 125,815,637,025
  5. Step 5: Solve for x
    x = 125,815,637,025/299,347.50
  6. Step 6: Final answer
    x = 420,299.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.