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Finding the Third Proportional to 417,021.75 and 915,235.88

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Solution

The third proportional to 417,021.75 and 915,235.88 is: 2,008,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,021.75 : 915,235.88 = 915,235.88 : x
  2. Step 2: Convert to fraction form
    417,021.75/915,235.88 = 915,235.88/x
  3. Step 3: Cross multiply
    417,021.75x = 915,235.88 × 915,235.88
  4. Step 4: Simplify right side
    417,021.75x = 837,656,706,887.02
  5. Step 5: Solve for x
    x = 837,656,706,887.02/417,021.75
  6. Step 6: Final answer
    x = 2,008,664.31

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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.