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Finding the Third Proportional to 118,541 and 258,385

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Solution

The third proportional to 118,541 and 258,385 is: 563,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,541 : 258,385 = 258,385 : x
  2. Step 2: Convert to fraction form
    118,541/258,385 = 258,385/x
  3. Step 3: Cross multiply
    118,541x = 258,385 × 258,385
  4. Step 4: Simplify right side
    118,541x = 66,762,808,225
  5. Step 5: Solve for x
    x = 66,762,808,225/118,541
  6. Step 6: Final answer
    x = 563,204.36

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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.