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Finding the Third Proportional to 170,338 and 358,316

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Solution

The third proportional to 170,338 and 358,316 is: 753,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,338 : 358,316 = 358,316 : x
  2. Step 2: Convert to fraction form
    170,338/358,316 = 358,316/x
  3. Step 3: Cross multiply
    170,338x = 358,316 × 358,316
  4. Step 4: Simplify right side
    170,338x = 128,390,355,856
  5. Step 5: Solve for x
    x = 128,390,355,856/170,338
  6. Step 6: Final answer
    x = 753,738.78

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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.