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Finding the Third Proportional to 328,464 and 509,592

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Solution

The third proportional to 328,464 and 509,592 is: 790,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,464 : 509,592 = 509,592 : x
  2. Step 2: Convert to fraction form
    328,464/509,592 = 509,592/x
  3. Step 3: Cross multiply
    328,464x = 509,592 × 509,592
  4. Step 4: Simplify right side
    328,464x = 259,684,006,464
  5. Step 5: Solve for x
    x = 259,684,006,464/328,464
  6. Step 6: Final answer
    x = 790,601.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.