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Finding the Third Proportional to 66,470 and 145,856

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Solution

The third proportional to 66,470 and 145,856 is: 320,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,470 : 145,856 = 145,856 : x
  2. Step 2: Convert to fraction form
    66,470/145,856 = 145,856/x
  3. Step 3: Cross multiply
    66,470x = 145,856 × 145,856
  4. Step 4: Simplify right side
    66,470x = 21,273,972,736
  5. Step 5: Solve for x
    x = 21,273,972,736/66,470
  6. Step 6: Final answer
    x = 320,053.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.