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Finding the Third Proportional to 140,520 and 210,783

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Solution

The third proportional to 140,520 and 210,783 is: 316,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,520 : 210,783 = 210,783 : x
  2. Step 2: Convert to fraction form
    140,520/210,783 = 210,783/x
  3. Step 3: Cross multiply
    140,520x = 210,783 × 210,783
  4. Step 4: Simplify right side
    140,520x = 44,429,473,089
  5. Step 5: Solve for x
    x = 44,429,473,089/140,520
  6. Step 6: Final answer
    x = 316,179.00

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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.