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Finding the Third Proportional to 65,902.50 and 102,130.88

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Solution

The third proportional to 65,902.50 and 102,130.88 is: 158,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.50 : 102,130.88 = 102,130.88 : x
  2. Step 2: Convert to fraction form
    65,902.50/102,130.88 = 102,130.88/x
  3. Step 3: Cross multiply
    65,902.50x = 102,130.88 × 102,130.88
  4. Step 4: Simplify right side
    65,902.50x = 10,430,715,628.27
  5. Step 5: Solve for x
    x = 10,430,715,628.27/65,902.50
  6. Step 6: Final answer
    x = 158,274.96

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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.