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Finding the Third Proportional to 262,842.25 and 411,783

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Solution

The third proportional to 262,842.25 and 411,783 is: 645,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.25 : 411,783 = 411,783 : x
  2. Step 2: Convert to fraction form
    262,842.25/411,783 = 411,783/x
  3. Step 3: Cross multiply
    262,842.25x = 411,783 × 411,783
  4. Step 4: Simplify right side
    262,842.25x = 169,565,239,089
  5. Step 5: Solve for x
    x = 169,565,239,089/262,842.25
  6. Step 6: Final answer
    x = 645,121.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.