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Finding the Third Proportional to 328,068 and 513,972

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Solution

The third proportional to 328,068 and 513,972 is: 805,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,068 : 513,972 = 513,972 : x
  2. Step 2: Convert to fraction form
    328,068/513,972 = 513,972/x
  3. Step 3: Cross multiply
    328,068x = 513,972 × 513,972
  4. Step 4: Simplify right side
    328,068x = 264,167,216,784
  5. Step 5: Solve for x
    x = 264,167,216,784/328,068
  6. Step 6: Final answer
    x = 805,220.92

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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.