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Finding the Third Proportional to 130,761 and 202,054.50

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Solution

The third proportional to 130,761 and 202,054.50 is: 312,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 202,054.50 = 202,054.50 : x
  2. Step 2: Convert to fraction form
    130,761/202,054.50 = 202,054.50/x
  3. Step 3: Cross multiply
    130,761x = 202,054.50 × 202,054.50
  4. Step 4: Simplify right side
    130,761x = 40,826,020,970.25
  5. Step 5: Solve for x
    x = 40,826,020,970.25/130,761
  6. Step 6: Final answer
    x = 312,218.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.