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Finding the Third Proportional to 319,420 and 703,653

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Solution

The third proportional to 319,420 and 703,653 is: 1,550,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,420 : 703,653 = 703,653 : x
  2. Step 2: Convert to fraction form
    319,420/703,653 = 703,653/x
  3. Step 3: Cross multiply
    319,420x = 703,653 × 703,653
  4. Step 4: Simplify right side
    319,420x = 495,127,544,409
  5. Step 5: Solve for x
    x = 495,127,544,409/319,420
  6. Step 6: Final answer
    x = 1,550,083.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.