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Finding the Third Proportional to 78,256.13 and 117,014.63

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Solution

The third proportional to 78,256.13 and 117,014.63 is: 174,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,256.13 : 117,014.63 = 117,014.63 : x
  2. Step 2: Convert to fraction form
    78,256.13/117,014.63 = 117,014.63/x
  3. Step 3: Cross multiply
    78,256.13x = 117,014.63 × 117,014.63
  4. Step 4: Simplify right side
    78,256.13x = 13,692,422,463.89
  5. Step 5: Solve for x
    x = 13,692,422,463.89/78,256.13
  6. Step 6: Final answer
    x = 174,969.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.