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Finding the Third Proportional to 65,358 and 143,176

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Solution

The third proportional to 65,358 and 143,176 is: 313,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,358 : 143,176 = 143,176 : x
  2. Step 2: Convert to fraction form
    65,358/143,176 = 143,176/x
  3. Step 3: Cross multiply
    65,358x = 143,176 × 143,176
  4. Step 4: Simplify right side
    65,358x = 20,499,366,976
  5. Step 5: Solve for x
    x = 20,499,366,976/65,358
  6. Step 6: Final answer
    x = 313,647.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.