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Finding the Third Proportional to 155,391 and 333,438

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Solution

The third proportional to 155,391 and 333,438 is: 715,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,391 : 333,438 = 333,438 : x
  2. Step 2: Convert to fraction form
    155,391/333,438 = 333,438/x
  3. Step 3: Cross multiply
    155,391x = 333,438 × 333,438
  4. Step 4: Simplify right side
    155,391x = 111,180,899,844
  5. Step 5: Solve for x
    x = 111,180,899,844/155,391
  6. Step 6: Final answer
    x = 715,491.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.