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Finding the Third Proportional to 64,490.87 and 136,815.64

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Solution

The third proportional to 64,490.87 and 136,815.64 is: 290,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,490.87 : 136,815.64 = 136,815.64 : x
  2. Step 2: Convert to fraction form
    64,490.87/136,815.64 = 136,815.64/x
  3. Step 3: Cross multiply
    64,490.87x = 136,815.64 × 136,815.64
  4. Step 4: Simplify right side
    64,490.87x = 18,718,520,588.50
  5. Step 5: Solve for x
    x = 18,718,520,588.50/64,490.87
  6. Step 6: Final answer
    x = 290,250.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.