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Finding the Third Proportional to 77,470 and 164,164

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Solution

The third proportional to 77,470 and 164,164 is: 347,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470 : 164,164 = 164,164 : x
  2. Step 2: Convert to fraction form
    77,470/164,164 = 164,164/x
  3. Step 3: Cross multiply
    77,470x = 164,164 × 164,164
  4. Step 4: Simplify right side
    77,470x = 26,949,818,896
  5. Step 5: Solve for x
    x = 26,949,818,896/77,470
  6. Step 6: Final answer
    x = 347,874.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.