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Finding the Third Proportional to 72,258.75 and 102,701.25

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Solution

The third proportional to 72,258.75 and 102,701.25 is: 145,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,258.75 : 102,701.25 = 102,701.25 : x
  2. Step 2: Convert to fraction form
    72,258.75/102,701.25 = 102,701.25/x
  3. Step 3: Cross multiply
    72,258.75x = 102,701.25 × 102,701.25
  4. Step 4: Simplify right side
    72,258.75x = 10,547,546,751.56
  5. Step 5: Solve for x
    x = 10,547,546,751.56/72,258.75
  6. Step 6: Final answer
    x = 145,969.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.