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Finding the Third Proportional to 134,895.80 and 291,405.09

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Solution

The third proportional to 134,895.80 and 291,405.09 is: 629,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,895.80 : 291,405.09 = 291,405.09 : x
  2. Step 2: Convert to fraction form
    134,895.80/291,405.09 = 291,405.09/x
  3. Step 3: Cross multiply
    134,895.80x = 291,405.09 × 291,405.09
  4. Step 4: Simplify right side
    134,895.80x = 84,916,928,663.45
  5. Step 5: Solve for x
    x = 84,916,928,663.45/134,895.80
  6. Step 6: Final answer
    x = 629,500.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.