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Finding the Third Proportional to 416,823.75 and 645,827.63

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Solution

The third proportional to 416,823.75 and 645,827.63 is: 1,000,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,823.75 : 645,827.63 = 645,827.63 : x
  2. Step 2: Convert to fraction form
    416,823.75/645,827.63 = 645,827.63/x
  3. Step 3: Cross multiply
    416,823.75x = 645,827.63 × 645,827.63
  4. Step 4: Simplify right side
    416,823.75x = 417,093,321,213.14
  5. Step 5: Solve for x
    x = 417,093,321,213.14/416,823.75
  6. Step 6: Final answer
    x = 1,000,646.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.