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Finding the Third Proportional to 140,026 and 212,628

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Solution

The third proportional to 140,026 and 212,628 is: 322,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,026 : 212,628 = 212,628 : x
  2. Step 2: Convert to fraction form
    140,026/212,628 = 212,628/x
  3. Step 3: Cross multiply
    140,026x = 212,628 × 212,628
  4. Step 4: Simplify right side
    140,026x = 45,210,666,384
  5. Step 5: Solve for x
    x = 45,210,666,384/140,026
  6. Step 6: Final answer
    x = 322,873.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.