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Finding the Third Proportional to 170,478 and 358,929

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Solution

The third proportional to 170,478 and 358,929 is: 755,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,478 : 358,929 = 358,929 : x
  2. Step 2: Convert to fraction form
    170,478/358,929 = 358,929/x
  3. Step 3: Cross multiply
    170,478x = 358,929 × 358,929
  4. Step 4: Simplify right side
    170,478x = 128,830,027,041
  5. Step 5: Solve for x
    x = 128,830,027,041/170,478
  6. Step 6: Final answer
    x = 755,698.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.