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Finding the Third Proportional to 265,728 and 403,513

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Solution

The third proportional to 265,728 and 403,513 is: 612,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,728 : 403,513 = 403,513 : x
  2. Step 2: Convert to fraction form
    265,728/403,513 = 403,513/x
  3. Step 3: Cross multiply
    265,728x = 403,513 × 403,513
  4. Step 4: Simplify right side
    265,728x = 162,822,741,169
  5. Step 5: Solve for x
    x = 162,822,741,169/265,728
  6. Step 6: Final answer
    x = 612,742.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.