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Finding the Third Proportional to 273,715 and 435,864

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Solution

The third proportional to 273,715 and 435,864 is: 694,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,715 : 435,864 = 435,864 : x
  2. Step 2: Convert to fraction form
    273,715/435,864 = 435,864/x
  3. Step 3: Cross multiply
    273,715x = 435,864 × 435,864
  4. Step 4: Simplify right side
    273,715x = 189,977,426,496
  5. Step 5: Solve for x
    x = 189,977,426,496/273,715
  6. Step 6: Final answer
    x = 694,070.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.