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Finding the Third Proportional to 301,861 and 656,138

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Solution

The third proportional to 301,861 and 656,138 is: 1,426,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861 : 656,138 = 656,138 : x
  2. Step 2: Convert to fraction form
    301,861/656,138 = 656,138/x
  3. Step 3: Cross multiply
    301,861x = 656,138 × 656,138
  4. Step 4: Simplify right side
    301,861x = 430,517,075,044
  5. Step 5: Solve for x
    x = 430,517,075,044/301,861
  6. Step 6: Final answer
    x = 1,426,209.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.