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Finding the Third Proportional to 602,156 and 820,173

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Solution

The third proportional to 602,156 and 820,173 is: 1,117,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,156 : 820,173 = 820,173 : x
  2. Step 2: Convert to fraction form
    602,156/820,173 = 820,173/x
  3. Step 3: Cross multiply
    602,156x = 820,173 × 820,173
  4. Step 4: Simplify right side
    602,156x = 672,683,749,929
  5. Step 5: Solve for x
    x = 672,683,749,929/602,156
  6. Step 6: Final answer
    x = 1,117,125.38

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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.