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Finding the Third Proportional to 118,338 and 257,412

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Solution

The third proportional to 118,338 and 257,412 is: 559,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,338 : 257,412 = 257,412 : x
  2. Step 2: Convert to fraction form
    118,338/257,412 = 257,412/x
  3. Step 3: Cross multiply
    118,338x = 257,412 × 257,412
  4. Step 4: Simplify right side
    118,338x = 66,260,937,744
  5. Step 5: Solve for x
    x = 66,260,937,744/118,338
  6. Step 6: Final answer
    x = 559,929.50

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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.