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Finding the Third Proportional to 287,382 and 671,223

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Solution

The third proportional to 287,382 and 671,223 is: 1,567,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,382 : 671,223 = 671,223 : x
  2. Step 2: Convert to fraction form
    287,382/671,223 = 671,223/x
  3. Step 3: Cross multiply
    287,382x = 671,223 × 671,223
  4. Step 4: Simplify right side
    287,382x = 450,540,315,729
  5. Step 5: Solve for x
    x = 450,540,315,729/287,382
  6. Step 6: Final answer
    x = 1,567,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.