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Finding the Third Proportional to 118,420 and 258,224

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Solution

The third proportional to 118,420 and 258,224 is: 563,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,420 : 258,224 = 258,224 : x
  2. Step 2: Convert to fraction form
    118,420/258,224 = 258,224/x
  3. Step 3: Cross multiply
    118,420x = 258,224 × 258,224
  4. Step 4: Simplify right side
    118,420x = 66,679,634,176
  5. Step 5: Solve for x
    x = 66,679,634,176/118,420
  6. Step 6: Final answer
    x = 563,077.47

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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.