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Finding the Third Proportional to 88,946 and 130,087.50

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Solution

The third proportional to 88,946 and 130,087.50 is: 190,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,946 : 130,087.50 = 130,087.50 : x
  2. Step 2: Convert to fraction form
    88,946/130,087.50 = 130,087.50/x
  3. Step 3: Cross multiply
    88,946x = 130,087.50 × 130,087.50
  4. Step 4: Simplify right side
    88,946x = 16,922,757,656.25
  5. Step 5: Solve for x
    x = 16,922,757,656.25/88,946
  6. Step 6: Final answer
    x = 190,258.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.