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Finding the Third Proportional to 386,382 and 509,301

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Solution

The third proportional to 386,382 and 509,301 is: 671,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,382 : 509,301 = 509,301 : x
  2. Step 2: Convert to fraction form
    386,382/509,301 = 509,301/x
  3. Step 3: Cross multiply
    386,382x = 509,301 × 509,301
  4. Step 4: Simplify right side
    386,382x = 259,387,508,601
  5. Step 5: Solve for x
    x = 259,387,508,601/386,382
  6. Step 6: Final answer
    x = 671,324.00

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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.