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Finding the Third Proportional to 802,678 and 1,210,823

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Solution

The third proportional to 802,678 and 1,210,823 is: 1,826,501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,678 : 1,210,823 = 1,210,823 : x
  2. Step 2: Convert to fraction form
    802,678/1,210,823 = 1,210,823/x
  3. Step 3: Cross multiply
    802,678x = 1,210,823 × 1,210,823
  4. Step 4: Simplify right side
    802,678x = 1,466,092,337,329
  5. Step 5: Solve for x
    x = 1,466,092,337,329/802,678
  6. Step 6: Final answer
    x = 1,826,501.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.