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Finding the Third Proportional to 134,770 and 210,783

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Solution

The third proportional to 134,770 and 210,783 is: 329,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,770 : 210,783 = 210,783 : x
  2. Step 2: Convert to fraction form
    134,770/210,783 = 210,783/x
  3. Step 3: Cross multiply
    134,770x = 210,783 × 210,783
  4. Step 4: Simplify right side
    134,770x = 44,429,473,089
  5. Step 5: Solve for x
    x = 44,429,473,089/134,770
  6. Step 6: Final answer
    x = 329,668.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.