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Finding the Third Proportional to 118,946 and 258,628

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Solution

The third proportional to 118,946 and 258,628 is: 562,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 258,628 = 258,628 : x
  2. Step 2: Convert to fraction form
    118,946/258,628 = 258,628/x
  3. Step 3: Cross multiply
    118,946x = 258,628 × 258,628
  4. Step 4: Simplify right side
    118,946x = 66,888,442,384
  5. Step 5: Solve for x
    x = 66,888,442,384/118,946
  6. Step 6: Final answer
    x = 562,342.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.