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Finding the Third Proportional to 78,554.81 and 117,518.34

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Solution

The third proportional to 78,554.81 and 117,518.34 is: 175,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554.81 : 117,518.34 = 117,518.34 : x
  2. Step 2: Convert to fraction form
    78,554.81/117,518.34 = 117,518.34/x
  3. Step 3: Cross multiply
    78,554.81x = 117,518.34 × 117,518.34
  4. Step 4: Simplify right side
    78,554.81x = 13,810,561,117.74
  5. Step 5: Solve for x
    x = 13,810,561,117.74/78,554.81
  6. Step 6: Final answer
    x = 175,807.96

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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.