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Finding the Third Proportional to 319,415.91 and 703,644.47

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Solution

The third proportional to 319,415.91 and 703,644.47 is: 1,550,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,415.91 : 703,644.47 = 703,644.47 : x
  2. Step 2: Convert to fraction form
    319,415.91/703,644.47 = 703,644.47/x
  3. Step 3: Cross multiply
    319,415.91x = 703,644.47 × 703,644.47
  4. Step 4: Simplify right side
    319,415.91x = 495,115,538,402.47
  5. Step 5: Solve for x
    x = 495,115,538,402.47/319,415.91
  6. Step 6: Final answer
    x = 1,550,065.38

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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.