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Finding the Third Proportional to 292,822.50 and 639,348

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Solution

The third proportional to 292,822.50 and 639,348 is: 1,395,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,822.50 : 639,348 = 639,348 : x
  2. Step 2: Convert to fraction form
    292,822.50/639,348 = 639,348/x
  3. Step 3: Cross multiply
    292,822.50x = 639,348 × 639,348
  4. Step 4: Simplify right side
    292,822.50x = 408,765,865,104
  5. Step 5: Solve for x
    x = 408,765,865,104/292,822.50
  6. Step 6: Final answer
    x = 1,395,951.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.