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Finding the Third Proportional to 118,316 and 258,466

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Solution

The third proportional to 118,316 and 258,466 is: 564,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,316 : 258,466 = 258,466 : x
  2. Step 2: Convert to fraction form
    118,316/258,466 = 258,466/x
  3. Step 3: Cross multiply
    118,316x = 258,466 × 258,466
  4. Step 4: Simplify right side
    118,316x = 66,804,673,156
  5. Step 5: Solve for x
    x = 66,804,673,156/118,316
  6. Step 6: Final answer
    x = 564,629.24

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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.