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Finding the Third Proportional to 402,108.75 and 837,306

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Solution

The third proportional to 402,108.75 and 837,306 is: 1,743,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,108.75 : 837,306 = 837,306 : x
  2. Step 2: Convert to fraction form
    402,108.75/837,306 = 837,306/x
  3. Step 3: Cross multiply
    402,108.75x = 837,306 × 837,306
  4. Step 4: Simplify right side
    402,108.75x = 701,081,337,636
  5. Step 5: Solve for x
    x = 701,081,337,636/402,108.75
  6. Step 6: Final answer
    x = 1,743,511.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.