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Finding the Third Proportional to 78,411.38 and 118,346.06

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Solution

The third proportional to 78,411.38 and 118,346.06 is: 178,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.38 : 118,346.06 = 118,346.06 : x
  2. Step 2: Convert to fraction form
    78,411.38/118,346.06 = 118,346.06/x
  3. Step 3: Cross multiply
    78,411.38x = 118,346.06 × 118,346.06
  4. Step 4: Simplify right side
    78,411.38x = 14,005,790,509.25
  5. Step 5: Solve for x
    x = 14,005,790,509.25/78,411.38
  6. Step 6: Final answer
    x = 178,619.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.