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Finding the Third Proportional to 136,904.63 and 299,617.31

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Solution

The third proportional to 136,904.63 and 299,617.31 is: 655,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,904.63 : 299,617.31 = 299,617.31 : x
  2. Step 2: Convert to fraction form
    136,904.63/299,617.31 = 299,617.31/x
  3. Step 3: Cross multiply
    136,904.63x = 299,617.31 × 299,617.31
  4. Step 4: Simplify right side
    136,904.63x = 89,770,533,949.72
  5. Step 5: Solve for x
    x = 89,770,533,949.72/136,904.63
  6. Step 6: Final answer
    x = 655,715.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.