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Finding the Third Proportional to 142,464.94 and 219,865.36

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Solution

The third proportional to 142,464.94 and 219,865.36 is: 339,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,464.94 : 219,865.36 = 219,865.36 : x
  2. Step 2: Convert to fraction form
    142,464.94/219,865.36 = 219,865.36/x
  3. Step 3: Cross multiply
    142,464.94x = 219,865.36 × 219,865.36
  4. Step 4: Simplify right side
    142,464.94x = 48,340,776,253.10
  5. Step 5: Solve for x
    x = 48,340,776,253.10/142,464.94
  6. Step 6: Final answer
    x = 339,317.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.