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Finding the Third Proportional to 94,852.50 and 142,904.25

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Solution

The third proportional to 94,852.50 and 142,904.25 is: 215,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,852.50 : 142,904.25 = 142,904.25 : x
  2. Step 2: Convert to fraction form
    94,852.50/142,904.25 = 142,904.25/x
  3. Step 3: Cross multiply
    94,852.50x = 142,904.25 × 142,904.25
  4. Step 4: Simplify right side
    94,852.50x = 20,421,624,668.06
  5. Step 5: Solve for x
    x = 20,421,624,668.06/94,852.50
  6. Step 6: Final answer
    x = 215,298.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.