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Finding the Third Proportional to 77,515 and 158,319

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Solution

The third proportional to 77,515 and 158,319 is: 323,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,515 : 158,319 = 158,319 : x
  2. Step 2: Convert to fraction form
    77,515/158,319 = 158,319/x
  3. Step 3: Cross multiply
    77,515x = 158,319 × 158,319
  4. Step 4: Simplify right side
    77,515x = 25,064,905,761
  5. Step 5: Solve for x
    x = 25,064,905,761/77,515
  6. Step 6: Final answer
    x = 323,355.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.