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Finding the Third Proportional to 386,384 and 509,304

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Solution

The third proportional to 386,384 and 509,304 is: 671,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,384 : 509,304 = 509,304 : x
  2. Step 2: Convert to fraction form
    386,384/509,304 = 509,304/x
  3. Step 3: Cross multiply
    386,384x = 509,304 × 509,304
  4. Step 4: Simplify right side
    386,384x = 259,390,564,416
  5. Step 5: Solve for x
    x = 259,390,564,416/386,384
  6. Step 6: Final answer
    x = 671,328.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.