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Finding the Third Proportional to 286,163.50 and 455,513

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Solution

The third proportional to 286,163.50 and 455,513 is: 725,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,163.50 : 455,513 = 455,513 : x
  2. Step 2: Convert to fraction form
    286,163.50/455,513 = 455,513/x
  3. Step 3: Cross multiply
    286,163.50x = 455,513 × 455,513
  4. Step 4: Simplify right side
    286,163.50x = 207,492,093,169
  5. Step 5: Solve for x
    x = 207,492,093,169/286,163.50
  6. Step 6: Final answer
    x = 725,082.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.