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Finding the Third Proportional to 411,978.75 and 902,505.75

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Solution

The third proportional to 411,978.75 and 902,505.75 is: 1,977,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,978.75 : 902,505.75 = 902,505.75 : x
  2. Step 2: Convert to fraction form
    411,978.75/902,505.75 = 902,505.75/x
  3. Step 3: Cross multiply
    411,978.75x = 902,505.75 × 902,505.75
  4. Step 4: Simplify right side
    411,978.75x = 814,516,628,783.06
  5. Step 5: Solve for x
    x = 814,516,628,783.06/411,978.75
  6. Step 6: Final answer
    x = 1,977,084.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.