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Finding the Third Proportional to 338,315 and 801,480

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Solution

The third proportional to 338,315 and 801,480 is: 1,898,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,315 : 801,480 = 801,480 : x
  2. Step 2: Convert to fraction form
    338,315/801,480 = 801,480/x
  3. Step 3: Cross multiply
    338,315x = 801,480 × 801,480
  4. Step 4: Simplify right side
    338,315x = 642,370,190,400
  5. Step 5: Solve for x
    x = 642,370,190,400/338,315
  6. Step 6: Final answer
    x = 1,898,733.99

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.