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Finding the Third Proportional to 77,258 and 162,820

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Solution

The third proportional to 77,258 and 162,820 is: 343,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,258 : 162,820 = 162,820 : x
  2. Step 2: Convert to fraction form
    77,258/162,820 = 162,820/x
  3. Step 3: Cross multiply
    77,258x = 162,820 × 162,820
  4. Step 4: Simplify right side
    77,258x = 26,510,352,400
  5. Step 5: Solve for x
    x = 26,510,352,400/77,258
  6. Step 6: Final answer
    x = 343,140.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.