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Finding the Third Proportional to 319,835.25 and 689,488.88

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Solution

The third proportional to 319,835.25 and 689,488.88 is: 1,486,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,835.25 : 689,488.88 = 689,488.88 : x
  2. Step 2: Convert to fraction form
    319,835.25/689,488.88 = 689,488.88/x
  3. Step 3: Cross multiply
    319,835.25x = 689,488.88 × 689,488.88
  4. Step 4: Simplify right side
    319,835.25x = 475,394,908,748.77
  5. Step 5: Solve for x
    x = 475,394,908,748.77/319,835.25
  6. Step 6: Final answer
    x = 1,486,374.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.