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Finding the Third Proportional to 319,627.69 and 689,070.38

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Solution

The third proportional to 319,627.69 and 689,070.38 is: 1,485,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,627.69 : 689,070.38 = 689,070.38 : x
  2. Step 2: Convert to fraction form
    319,627.69/689,070.38 = 689,070.38/x
  3. Step 3: Cross multiply
    319,627.69x = 689,070.38 × 689,070.38
  4. Step 4: Simplify right side
    319,627.69x = 474,817,981,702.64
  5. Step 5: Solve for x
    x = 474,817,981,702.64/319,627.69
  6. Step 6: Final answer
    x = 1,485,534.58

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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.