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Finding the Third Proportional to 70,305 and 153,470

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Solution

The third proportional to 70,305 and 153,470 is: 335,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,305 : 153,470 = 153,470 : x
  2. Step 2: Convert to fraction form
    70,305/153,470 = 153,470/x
  3. Step 3: Cross multiply
    70,305x = 153,470 × 153,470
  4. Step 4: Simplify right side
    70,305x = 23,553,040,900
  5. Step 5: Solve for x
    x = 23,553,040,900/70,305
  6. Step 6: Final answer
    x = 335,012.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.