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Finding the Third Proportional to 76,656 and 118,410

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Solution

The third proportional to 76,656 and 118,410 is: 182,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 118,410 = 118,410 : x
  2. Step 2: Convert to fraction form
    76,656/118,410 = 118,410/x
  3. Step 3: Cross multiply
    76,656x = 118,410 × 118,410
  4. Step 4: Simplify right side
    76,656x = 14,020,928,100
  5. Step 5: Solve for x
    x = 14,020,928,100/76,656
  6. Step 6: Final answer
    x = 182,907.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.