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Finding the Third Proportional to 140,730 and 210,393

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Solution

The third proportional to 140,730 and 210,393 is: 314,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,730 : 210,393 = 210,393 : x
  2. Step 2: Convert to fraction form
    140,730/210,393 = 210,393/x
  3. Step 3: Cross multiply
    140,730x = 210,393 × 210,393
  4. Step 4: Simplify right side
    140,730x = 44,265,214,449
  5. Step 5: Solve for x
    x = 44,265,214,449/140,730
  6. Step 6: Final answer
    x = 314,540.00

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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.