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Finding the Third Proportional to 77,406 and 118,326

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Solution

The third proportional to 77,406 and 118,326 is: 180,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406 : 118,326 = 118,326 : x
  2. Step 2: Convert to fraction form
    77,406/118,326 = 118,326/x
  3. Step 3: Cross multiply
    77,406x = 118,326 × 118,326
  4. Step 4: Simplify right side
    77,406x = 14,001,042,276
  5. Step 5: Solve for x
    x = 14,001,042,276/77,406
  6. Step 6: Final answer
    x = 180,878.00

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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.