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Finding the Third Proportional to 299,740.50 and 643,950

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Solution

The third proportional to 299,740.50 and 643,950 is: 1,383,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,740.50 : 643,950 = 643,950 : x
  2. Step 2: Convert to fraction form
    299,740.50/643,950 = 643,950/x
  3. Step 3: Cross multiply
    299,740.50x = 643,950 × 643,950
  4. Step 4: Simplify right side
    299,740.50x = 414,671,602,500
  5. Step 5: Solve for x
    x = 414,671,602,500/299,740.50
  6. Step 6: Final answer
    x = 1,383,435.35

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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.