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Finding the Third Proportional to 298,085 and 450,981.50

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Solution

The third proportional to 298,085 and 450,981.50 is: 682,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,085 : 450,981.50 = 450,981.50 : x
  2. Step 2: Convert to fraction form
    298,085/450,981.50 = 450,981.50/x
  3. Step 3: Cross multiply
    298,085x = 450,981.50 × 450,981.50
  4. Step 4: Simplify right side
    298,085x = 203,384,313,342.25
  5. Step 5: Solve for x
    x = 203,384,313,342.25/298,085
  6. Step 6: Final answer
    x = 682,303.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.