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Finding the Third Proportional to 140,324 and 210,648

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Solution

The third proportional to 140,324 and 210,648 is: 316,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,324 : 210,648 = 210,648 : x
  2. Step 2: Convert to fraction form
    140,324/210,648 = 210,648/x
  3. Step 3: Cross multiply
    140,324x = 210,648 × 210,648
  4. Step 4: Simplify right side
    140,324x = 44,372,579,904
  5. Step 5: Solve for x
    x = 44,372,579,904/140,324
  6. Step 6: Final answer
    x = 316,215.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.