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Finding the Third Proportional to 239,439.66 and 358,499.94

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Solution

The third proportional to 239,439.66 and 358,499.94 is: 536,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,439.66 : 358,499.94 = 358,499.94 : x
  2. Step 2: Convert to fraction form
    239,439.66/358,499.94 = 358,499.94/x
  3. Step 3: Cross multiply
    239,439.66x = 358,499.94 × 358,499.94
  4. Step 4: Simplify right side
    239,439.66x = 128,522,209,695.03
  5. Step 5: Solve for x
    x = 128,522,209,695.03/239,439.66
  6. Step 6: Final answer
    x = 536,762.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.