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Finding the Third Proportional to 118,270 and 258,464

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Solution

The third proportional to 118,270 and 258,464 is: 564,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,270 : 258,464 = 258,464 : x
  2. Step 2: Convert to fraction form
    118,270/258,464 = 258,464/x
  3. Step 3: Cross multiply
    118,270x = 258,464 × 258,464
  4. Step 4: Simplify right side
    118,270x = 66,803,639,296
  5. Step 5: Solve for x
    x = 66,803,639,296/118,270
  6. Step 6: Final answer
    x = 564,840.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.