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Finding the Third Proportional to 65,907.56 and 102,138.47

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Solution

The third proportional to 65,907.56 and 102,138.47 is: 158,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.56 : 102,138.47 = 102,138.47 : x
  2. Step 2: Convert to fraction form
    65,907.56/102,138.47 = 102,138.47/x
  3. Step 3: Cross multiply
    65,907.56x = 102,138.47 × 102,138.47
  4. Step 4: Simplify right side
    65,907.56x = 10,432,266,798.59
  5. Step 5: Solve for x
    x = 10,432,266,798.59/65,907.56
  6. Step 6: Final answer
    x = 158,286.34

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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.