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Finding the Third Proportional to 78,644.25 and 168,412.13

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Solution

The third proportional to 78,644.25 and 168,412.13 is: 360,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.25 : 168,412.13 = 168,412.13 : x
  2. Step 2: Convert to fraction form
    78,644.25/168,412.13 = 168,412.13/x
  3. Step 3: Cross multiply
    78,644.25x = 168,412.13 × 168,412.13
  4. Step 4: Simplify right side
    78,644.25x = 28,362,643,847.02
  5. Step 5: Solve for x
    x = 28,362,643,847.02/78,644.25
  6. Step 6: Final answer
    x = 360,644.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.