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Finding the Third Proportional to 78,705 and 122,763.75

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Solution

The third proportional to 78,705 and 122,763.75 is: 191,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,705 : 122,763.75 = 122,763.75 : x
  2. Step 2: Convert to fraction form
    78,705/122,763.75 = 122,763.75/x
  3. Step 3: Cross multiply
    78,705x = 122,763.75 × 122,763.75
  4. Step 4: Simplify right side
    78,705x = 15,070,938,314.06
  5. Step 5: Solve for x
    x = 15,070,938,314.06/78,705
  6. Step 6: Final answer
    x = 191,486.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.