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Finding the Third Proportional to 140,512 and 210,770

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Solution

The third proportional to 140,512 and 210,770 is: 316,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512 : 210,770 = 210,770 : x
  2. Step 2: Convert to fraction form
    140,512/210,770 = 210,770/x
  3. Step 3: Cross multiply
    140,512x = 210,770 × 210,770
  4. Step 4: Simplify right side
    140,512x = 44,423,992,900
  5. Step 5: Solve for x
    x = 44,423,992,900/140,512
  6. Step 6: Final answer
    x = 316,158.00

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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.