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Finding the Third Proportional to 77,710 and 118,083

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Solution

The third proportional to 77,710 and 118,083 is: 179,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710 : 118,083 = 118,083 : x
  2. Step 2: Convert to fraction form
    77,710/118,083 = 118,083/x
  3. Step 3: Cross multiply
    77,710x = 118,083 × 118,083
  4. Step 4: Simplify right side
    77,710x = 13,943,594,889
  5. Step 5: Solve for x
    x = 13,943,594,889/77,710
  6. Step 6: Final answer
    x = 179,431.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.