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Finding the Third Proportional to 417,969 and 664,246.50

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Solution

The third proportional to 417,969 and 664,246.50 is: 1,055,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,969 : 664,246.50 = 664,246.50 : x
  2. Step 2: Convert to fraction form
    417,969/664,246.50 = 664,246.50/x
  3. Step 3: Cross multiply
    417,969x = 664,246.50 × 664,246.50
  4. Step 4: Simplify right side
    417,969x = 441,223,412,762.25
  5. Step 5: Solve for x
    x = 441,223,412,762.25/417,969
  6. Step 6: Final answer
    x = 1,055,636.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.