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Finding the Third Proportional to 77,356 and 164,828

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Solution

The third proportional to 77,356 and 164,828 is: 351,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356 : 164,828 = 164,828 : x
  2. Step 2: Convert to fraction form
    77,356/164,828 = 164,828/x
  3. Step 3: Cross multiply
    77,356x = 164,828 × 164,828
  4. Step 4: Simplify right side
    77,356x = 27,168,269,584
  5. Step 5: Solve for x
    x = 27,168,269,584/77,356
  6. Step 6: Final answer
    x = 351,210.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.