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Finding the Third Proportional to 328,086 and 506,668

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Solution

The third proportional to 328,086 and 506,668 is: 782,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086 : 506,668 = 506,668 : x
  2. Step 2: Convert to fraction form
    328,086/506,668 = 506,668/x
  3. Step 3: Cross multiply
    328,086x = 506,668 × 506,668
  4. Step 4: Simplify right side
    328,086x = 256,712,462,224
  5. Step 5: Solve for x
    x = 256,712,462,224/328,086
  6. Step 6: Final answer
    x = 782,454.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.