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Finding the Third Proportional to 76,480 and 118,128

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Solution

The third proportional to 76,480 and 118,128 is: 182,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480 : 118,128 = 118,128 : x
  2. Step 2: Convert to fraction form
    76,480/118,128 = 118,128/x
  3. Step 3: Cross multiply
    76,480x = 118,128 × 118,128
  4. Step 4: Simplify right side
    76,480x = 13,954,224,384
  5. Step 5: Solve for x
    x = 13,954,224,384/76,480
  6. Step 6: Final answer
    x = 182,455.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.