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Finding the Third Proportional to 602,808 and 820,921

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Solution

The third proportional to 602,808 and 820,921 is: 1,117,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,808 : 820,921 = 820,921 : x
  2. Step 2: Convert to fraction form
    602,808/820,921 = 820,921/x
  3. Step 3: Cross multiply
    602,808x = 820,921 × 820,921
  4. Step 4: Simplify right side
    602,808x = 673,911,288,241
  5. Step 5: Solve for x
    x = 673,911,288,241/602,808
  6. Step 6: Final answer
    x = 1,117,953.46

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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.