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Finding the Third Proportional to 171,639.84 and 358,964.16

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Solution

The third proportional to 171,639.84 and 358,964.16 is: 750,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,639.84 : 358,964.16 = 358,964.16 : x
  2. Step 2: Convert to fraction form
    171,639.84/358,964.16 = 358,964.16/x
  3. Step 3: Cross multiply
    171,639.84x = 358,964.16 × 358,964.16
  4. Step 4: Simplify right side
    171,639.84x = 128,855,265,472.27
  5. Step 5: Solve for x
    x = 128,855,265,472.27/171,639.84
  6. Step 6: Final answer
    x = 750,730.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.