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Finding the Third Proportional to 458,953.50 and 645,165

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Solution

The third proportional to 458,953.50 and 645,165 is: 906,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,953.50 : 645,165 = 645,165 : x
  2. Step 2: Convert to fraction form
    458,953.50/645,165 = 645,165/x
  3. Step 3: Cross multiply
    458,953.50x = 645,165 × 645,165
  4. Step 4: Simplify right side
    458,953.50x = 416,237,877,225
  5. Step 5: Solve for x
    x = 416,237,877,225/458,953.50
  6. Step 6: Final answer
    x = 906,928.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.