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Finding the Third Proportional to 70,146 and 149,053

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Solution

The third proportional to 70,146 and 149,053 is: 316,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146 : 149,053 = 149,053 : x
  2. Step 2: Convert to fraction form
    70,146/149,053 = 149,053/x
  3. Step 3: Cross multiply
    70,146x = 149,053 × 149,053
  4. Step 4: Simplify right side
    70,146x = 22,216,796,809
  5. Step 5: Solve for x
    x = 22,216,796,809/70,146
  6. Step 6: Final answer
    x = 316,722.22

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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.