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Finding the Third Proportional to 155,205 and 338,841

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Solution

The third proportional to 155,205 and 338,841 is: 739,752.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,205 : 338,841 = 338,841 : x
  2. Step 2: Convert to fraction form
    155,205/338,841 = 338,841/x
  3. Step 3: Cross multiply
    155,205x = 338,841 × 338,841
  4. Step 4: Simplify right side
    155,205x = 114,813,223,281
  5. Step 5: Solve for x
    x = 114,813,223,281/155,205
  6. Step 6: Final answer
    x = 739,752.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.