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Finding the Third Proportional to 319,428.56 and 703,670.63

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Solution

The third proportional to 319,428.56 and 703,670.63 is: 1,550,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,428.56 : 703,670.63 = 703,670.63 : x
  2. Step 2: Convert to fraction form
    319,428.56/703,670.63 = 703,670.63/x
  3. Step 3: Cross multiply
    319,428.56x = 703,670.63 × 703,670.63
  4. Step 4: Simplify right side
    319,428.56x = 495,152,348,487.89
  5. Step 5: Solve for x
    x = 495,152,348,487.89/319,428.56
  6. Step 6: Final answer
    x = 1,550,119.20

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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.