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Finding the Third Proportional to 316,784.25 and 689,339.25

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Solution

The third proportional to 316,784.25 and 689,339.25 is: 1,500,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,784.25 : 689,339.25 = 689,339.25 : x
  2. Step 2: Convert to fraction form
    316,784.25/689,339.25 = 689,339.25/x
  3. Step 3: Cross multiply
    316,784.25x = 689,339.25 × 689,339.25
  4. Step 4: Simplify right side
    316,784.25x = 475,188,601,590.56
  5. Step 5: Solve for x
    x = 475,188,601,590.56/316,784.25
  6. Step 6: Final answer
    x = 1,500,038.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.