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Finding the Third Proportional to 170,322.75 and 358,288.31

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Solution

The third proportional to 170,322.75 and 358,288.31 is: 753,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,322.75 : 358,288.31 = 358,288.31 : x
  2. Step 2: Convert to fraction form
    170,322.75/358,288.31 = 358,288.31/x
  3. Step 3: Cross multiply
    170,322.75x = 358,288.31 × 358,288.31
  4. Step 4: Simplify right side
    170,322.75x = 128,370,514,874.10
  5. Step 5: Solve for x
    x = 128,370,514,874.10/170,322.75
  6. Step 6: Final answer
    x = 753,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.