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Finding the Third Proportional to 402,316 and 837,702

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Solution

The third proportional to 402,316 and 837,702 is: 1,744,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,316 : 837,702 = 837,702 : x
  2. Step 2: Convert to fraction form
    402,316/837,702 = 837,702/x
  3. Step 3: Cross multiply
    402,316x = 837,702 × 837,702
  4. Step 4: Simplify right side
    402,316x = 701,744,640,804
  5. Step 5: Solve for x
    x = 701,744,640,804/402,316
  6. Step 6: Final answer
    x = 1,744,262.32

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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.