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Finding the Third Proportional to 78,988 and 125,054

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Solution

The third proportional to 78,988 and 125,054 is: 197,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,988 : 125,054 = 125,054 : x
  2. Step 2: Convert to fraction form
    78,988/125,054 = 125,054/x
  3. Step 3: Cross multiply
    78,988x = 125,054 × 125,054
  4. Step 4: Simplify right side
    78,988x = 15,638,502,916
  5. Step 5: Solve for x
    x = 15,638,502,916/78,988
  6. Step 6: Final answer
    x = 197,985.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.