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Finding the Third Proportional to 353,275 and 545,788

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Solution

The third proportional to 353,275 and 545,788 is: 843,208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,275 : 545,788 = 545,788 : x
  2. Step 2: Convert to fraction form
    353,275/545,788 = 545,788/x
  3. Step 3: Cross multiply
    353,275x = 545,788 × 545,788
  4. Step 4: Simplify right side
    353,275x = 297,884,540,944
  5. Step 5: Solve for x
    x = 297,884,540,944/353,275
  6. Step 6: Final answer
    x = 843,208.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.