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Finding the Third Proportional to 265,730 and 403,517

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Solution

The third proportional to 265,730 and 403,517 is: 612,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,730 : 403,517 = 403,517 : x
  2. Step 2: Convert to fraction form
    265,730/403,517 = 403,517/x
  3. Step 3: Cross multiply
    265,730x = 403,517 × 403,517
  4. Step 4: Simplify right side
    265,730x = 162,825,969,289
  5. Step 5: Solve for x
    x = 162,825,969,289/265,730
  6. Step 6: Final answer
    x = 612,749.67

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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.