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Finding the Third Proportional to 319,382 and 501,015

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Solution

The third proportional to 319,382 and 501,015 is: 785,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,382 : 501,015 = 501,015 : x
  2. Step 2: Convert to fraction form
    319,382/501,015 = 501,015/x
  3. Step 3: Cross multiply
    319,382x = 501,015 × 501,015
  4. Step 4: Simplify right side
    319,382x = 251,016,030,225
  5. Step 5: Solve for x
    x = 251,016,030,225/319,382
  6. Step 6: Final answer
    x = 785,942.95

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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.