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Finding the Third Proportional to 296,708 and 641,152

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Solution

The third proportional to 296,708 and 641,152 is: 1,385,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,708 : 641,152 = 641,152 : x
  2. Step 2: Convert to fraction form
    296,708/641,152 = 641,152/x
  3. Step 3: Cross multiply
    296,708x = 641,152 × 641,152
  4. Step 4: Simplify right side
    296,708x = 411,075,887,104
  5. Step 5: Solve for x
    x = 411,075,887,104/296,708
  6. Step 6: Final answer
    x = 1,385,456.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.