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Finding the Third Proportional to 319,420.50 and 703,653.38

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Solution

The third proportional to 319,420.50 and 703,653.38 is: 1,550,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,420.50 : 703,653.38 = 703,653.38 : x
  2. Step 2: Convert to fraction form
    319,420.50/703,653.38 = 703,653.38/x
  3. Step 3: Cross multiply
    319,420.50x = 703,653.38 × 703,653.38
  4. Step 4: Simplify right side
    319,420.50x = 495,128,072,148.89
  5. Step 5: Solve for x
    x = 495,128,072,148.89/319,420.50
  6. Step 6: Final answer
    x = 1,550,082.33

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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.