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Finding the Third Proportional to 298,143 and 446,032.50

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Solution

The third proportional to 298,143 and 446,032.50 is: 667,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,143 : 446,032.50 = 446,032.50 : x
  2. Step 2: Convert to fraction form
    298,143/446,032.50 = 446,032.50/x
  3. Step 3: Cross multiply
    298,143x = 446,032.50 × 446,032.50
  4. Step 4: Simplify right side
    298,143x = 198,944,991,056.25
  5. Step 5: Solve for x
    x = 198,944,991,056.25/298,143
  6. Step 6: Final answer
    x = 667,280.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.