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Finding the Third Proportional to 602,823 and 820,944

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Solution

The third proportional to 602,823 and 820,944 is: 1,117,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,823 : 820,944 = 820,944 : x
  2. Step 2: Convert to fraction form
    602,823/820,944 = 820,944/x
  3. Step 3: Cross multiply
    602,823x = 820,944 × 820,944
  4. Step 4: Simplify right side
    602,823x = 673,949,051,136
  5. Step 5: Solve for x
    x = 673,949,051,136/602,823
  6. Step 6: Final answer
    x = 1,117,988.28

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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.