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Finding the Third Proportional to 298,984.50 and 454,009.50

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Solution

The third proportional to 298,984.50 and 454,009.50 is: 689,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,984.50 : 454,009.50 = 454,009.50 : x
  2. Step 2: Convert to fraction form
    298,984.50/454,009.50 = 454,009.50/x
  3. Step 3: Cross multiply
    298,984.50x = 454,009.50 × 454,009.50
  4. Step 4: Simplify right side
    298,984.50x = 206,124,626,090.25
  5. Step 5: Solve for x
    x = 206,124,626,090.25/298,984.50
  6. Step 6: Final answer
    x = 689,415.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.