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Finding the Third Proportional to 118,543 and 258,389

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Solution

The third proportional to 118,543 and 258,389 is: 563,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,543 : 258,389 = 258,389 : x
  2. Step 2: Convert to fraction form
    118,543/258,389 = 258,389/x
  3. Step 3: Cross multiply
    118,543x = 258,389 × 258,389
  4. Step 4: Simplify right side
    118,543x = 66,764,875,321
  5. Step 5: Solve for x
    x = 66,764,875,321/118,543
  6. Step 6: Final answer
    x = 563,212.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.