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Finding the Third Proportional to 78,225.75 and 196,485.75

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Solution

The third proportional to 78,225.75 and 196,485.75 is: 493,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,225.75 : 196,485.75 = 196,485.75 : x
  2. Step 2: Convert to fraction form
    78,225.75/196,485.75 = 196,485.75/x
  3. Step 3: Cross multiply
    78,225.75x = 196,485.75 × 196,485.75
  4. Step 4: Simplify right side
    78,225.75x = 38,606,649,953.06
  5. Step 5: Solve for x
    x = 38,606,649,953.06/78,225.75
  6. Step 6: Final answer
    x = 493,528.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.