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Finding the Third Proportional to 402,336 and 837,405

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Solution

The third proportional to 402,336 and 837,405 is: 1,742,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,336 : 837,405 = 837,405 : x
  2. Step 2: Convert to fraction form
    402,336/837,405 = 837,405/x
  3. Step 3: Cross multiply
    402,336x = 837,405 × 837,405
  4. Step 4: Simplify right side
    402,336x = 701,247,134,025
  5. Step 5: Solve for x
    x = 701,247,134,025/402,336
  6. Step 6: Final answer
    x = 1,742,939.07

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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.