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Finding the Third Proportional to 331,736 and 710,798

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Solution

The third proportional to 331,736 and 710,798 is: 1,522,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,736 : 710,798 = 710,798 : x
  2. Step 2: Convert to fraction form
    331,736/710,798 = 710,798/x
  3. Step 3: Cross multiply
    331,736x = 710,798 × 710,798
  4. Step 4: Simplify right side
    331,736x = 505,233,796,804
  5. Step 5: Solve for x
    x = 505,233,796,804/331,736
  6. Step 6: Final answer
    x = 1,522,999.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.