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Finding the Third Proportional to 303,588 and 455,328

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Solution

The third proportional to 303,588 and 455,328 is: 682,911.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,588 : 455,328 = 455,328 : x
  2. Step 2: Convert to fraction form
    303,588/455,328 = 455,328/x
  3. Step 3: Cross multiply
    303,588x = 455,328 × 455,328
  4. Step 4: Simplify right side
    303,588x = 207,323,587,584
  5. Step 5: Solve for x
    x = 207,323,587,584/303,588
  6. Step 6: Final answer
    x = 682,911.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.