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Finding the Third Proportional to 162,603 and 255,411

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Solution

The third proportional to 162,603 and 255,411 is: 401,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,603 : 255,411 = 255,411 : x
  2. Step 2: Convert to fraction form
    162,603/255,411 = 255,411/x
  3. Step 3: Cross multiply
    162,603x = 255,411 × 255,411
  4. Step 4: Simplify right side
    162,603x = 65,234,778,921
  5. Step 5: Solve for x
    x = 65,234,778,921/162,603
  6. Step 6: Final answer
    x = 401,190.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.