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Finding the Third Proportional to 118,788 and 256,968

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Solution

The third proportional to 118,788 and 256,968 is: 555,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,788 : 256,968 = 256,968 : x
  2. Step 2: Convert to fraction form
    118,788/256,968 = 256,968/x
  3. Step 3: Cross multiply
    118,788x = 256,968 × 256,968
  4. Step 4: Simplify right side
    118,788x = 66,032,553,024
  5. Step 5: Solve for x
    x = 66,032,553,024/118,788
  6. Step 6: Final answer
    x = 555,885.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.