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Finding the Third Proportional to 328,077 and 506,655

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Solution

The third proportional to 328,077 and 506,655 is: 782,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,077 : 506,655 = 506,655 : x
  2. Step 2: Convert to fraction form
    328,077/506,655 = 506,655/x
  3. Step 3: Cross multiply
    328,077x = 506,655 × 506,655
  4. Step 4: Simplify right side
    328,077x = 256,699,289,025
  5. Step 5: Solve for x
    x = 256,699,289,025/328,077
  6. Step 6: Final answer
    x = 782,436.10

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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.