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Finding the Third Proportional to 312,032.25 and 456,941.25

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Solution

The third proportional to 312,032.25 and 456,941.25 is: 669,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,032.25 : 456,941.25 = 456,941.25 : x
  2. Step 2: Convert to fraction form
    312,032.25/456,941.25 = 456,941.25/x
  3. Step 3: Cross multiply
    312,032.25x = 456,941.25 × 456,941.25
  4. Step 4: Simplify right side
    312,032.25x = 208,795,305,951.56
  5. Step 5: Solve for x
    x = 208,795,305,951.56/312,032.25
  6. Step 6: Final answer
    x = 669,146.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.