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Finding the Third Proportional to 77,480 and 164,264

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Solution

The third proportional to 77,480 and 164,264 is: 348,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,480 : 164,264 = 164,264 : x
  2. Step 2: Convert to fraction form
    77,480/164,264 = 164,264/x
  3. Step 3: Cross multiply
    77,480x = 164,264 × 164,264
  4. Step 4: Simplify right side
    77,480x = 26,982,661,696
  5. Step 5: Solve for x
    x = 26,982,661,696/77,480
  6. Step 6: Final answer
    x = 348,253.25

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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.