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Finding the Third Proportional to 129,430.50 and 302,297.25

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Solution

The third proportional to 129,430.50 and 302,297.25 is: 706,044.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,430.50 : 302,297.25 = 302,297.25 : x
  2. Step 2: Convert to fraction form
    129,430.50/302,297.25 = 302,297.25/x
  3. Step 3: Cross multiply
    129,430.50x = 302,297.25 × 302,297.25
  4. Step 4: Simplify right side
    129,430.50x = 91,383,627,357.56
  5. Step 5: Solve for x
    x = 91,383,627,357.56/129,430.50
  6. Step 6: Final answer
    x = 706,044.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.