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Finding the Third Proportional to 75,315 and 162,303

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Solution

The third proportional to 75,315 and 162,303 is: 349,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315 : 162,303 = 162,303 : x
  2. Step 2: Convert to fraction form
    75,315/162,303 = 162,303/x
  3. Step 3: Cross multiply
    75,315x = 162,303 × 162,303
  4. Step 4: Simplify right side
    75,315x = 26,342,263,809
  5. Step 5: Solve for x
    x = 26,342,263,809/75,315
  6. Step 6: Final answer
    x = 349,761.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.