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Finding the Third Proportional to 292,371 and 639,417

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Solution

The third proportional to 292,371 and 639,417 is: 1,398,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,371 : 639,417 = 639,417 : x
  2. Step 2: Convert to fraction form
    292,371/639,417 = 639,417/x
  3. Step 3: Cross multiply
    292,371x = 639,417 × 639,417
  4. Step 4: Simplify right side
    292,371x = 408,854,099,889
  5. Step 5: Solve for x
    x = 408,854,099,889/292,371
  6. Step 6: Final answer
    x = 1,398,408.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.