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Finding the Third Proportional to 155,403 and 343,479

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Solution

The third proportional to 155,403 and 343,479 is: 759,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,403 : 343,479 = 343,479 : x
  2. Step 2: Convert to fraction form
    155,403/343,479 = 343,479/x
  3. Step 3: Cross multiply
    155,403x = 343,479 × 343,479
  4. Step 4: Simplify right side
    155,403x = 117,977,823,441
  5. Step 5: Solve for x
    x = 117,977,823,441/155,403
  6. Step 6: Final answer
    x = 759,173.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.