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Finding the Third Proportional to 129,590.75 and 211,609.13

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Solution

The third proportional to 129,590.75 and 211,609.13 is: 345,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590.75 : 211,609.13 = 211,609.13 : x
  2. Step 2: Convert to fraction form
    129,590.75/211,609.13 = 211,609.13/x
  3. Step 3: Cross multiply
    129,590.75x = 211,609.13 × 211,609.13
  4. Step 4: Simplify right side
    129,590.75x = 44,778,421,783.27
  5. Step 5: Solve for x
    x = 44,778,421,783.27/129,590.75
  6. Step 6: Final answer
    x = 345,537.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.