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Finding the Third Proportional to 63,406.13 and 133,884.56

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Solution

The third proportional to 63,406.13 and 133,884.56 is: 282,702.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,406.13 : 133,884.56 = 133,884.56 : x
  2. Step 2: Convert to fraction form
    63,406.13/133,884.56 = 133,884.56/x
  3. Step 3: Cross multiply
    63,406.13x = 133,884.56 × 133,884.56
  4. Step 4: Simplify right side
    63,406.13x = 17,925,076,075.82
  5. Step 5: Solve for x
    x = 17,925,076,075.82/63,406.13
  6. Step 6: Final answer
    x = 282,702.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.