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Finding the Third Proportional to 77,590 and 118,640

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Solution

The third proportional to 77,590 and 118,640 is: 181,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,590 : 118,640 = 118,640 : x
  2. Step 2: Convert to fraction form
    77,590/118,640 = 118,640/x
  3. Step 3: Cross multiply
    77,590x = 118,640 × 118,640
  4. Step 4: Simplify right side
    77,590x = 14,075,449,600
  5. Step 5: Solve for x
    x = 14,075,449,600/77,590
  6. Step 6: Final answer
    x = 181,408.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.