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Finding the Third Proportional to 402,329.25 and 837,389.25

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Solution

The third proportional to 402,329.25 and 837,389.25 is: 1,742,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,329.25 : 837,389.25 = 837,389.25 : x
  2. Step 2: Convert to fraction form
    402,329.25/837,389.25 = 837,389.25/x
  3. Step 3: Cross multiply
    402,329.25x = 837,389.25 × 837,389.25
  4. Step 4: Simplify right side
    402,329.25x = 701,220,756,015.56
  5. Step 5: Solve for x
    x = 701,220,756,015.56/402,329.25
  6. Step 6: Final answer
    x = 1,742,902.75

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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.