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Finding the Third Proportional to 117,530.50 and 258,389

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Solution

The third proportional to 117,530.50 and 258,389 is: 568,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,530.50 : 258,389 = 258,389 : x
  2. Step 2: Convert to fraction form
    117,530.50/258,389 = 258,389/x
  3. Step 3: Cross multiply
    117,530.50x = 258,389 × 258,389
  4. Step 4: Simplify right side
    117,530.50x = 66,764,875,321
  5. Step 5: Solve for x
    x = 66,764,875,321/117,530.50
  6. Step 6: Final answer
    x = 568,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.