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Finding the Third Proportional to 671,649 and 930,915

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Solution

The third proportional to 671,649 and 930,915 is: 1,290,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,649 : 930,915 = 930,915 : x
  2. Step 2: Convert to fraction form
    671,649/930,915 = 930,915/x
  3. Step 3: Cross multiply
    671,649x = 930,915 × 930,915
  4. Step 4: Simplify right side
    671,649x = 866,602,737,225
  5. Step 5: Solve for x
    x = 866,602,737,225/671,649
  6. Step 6: Final answer
    x = 1,290,261.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.