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Finding the Third Proportional to 602,158 and 820,176

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Solution

The third proportional to 602,158 and 820,176 is: 1,117,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,158 : 820,176 = 820,176 : x
  2. Step 2: Convert to fraction form
    602,158/820,176 = 820,176/x
  3. Step 3: Cross multiply
    602,158x = 820,176 × 820,176
  4. Step 4: Simplify right side
    602,158x = 672,688,670,976
  5. Step 5: Solve for x
    x = 672,688,670,976/602,158
  6. Step 6: Final answer
    x = 1,117,129.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.