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Finding the Third Proportional to 980,910 and 1,331,397

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Solution

The third proportional to 980,910 and 1,331,397 is: 1,807,115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,910 : 1,331,397 = 1,331,397 : x
  2. Step 2: Convert to fraction form
    980,910/1,331,397 = 1,331,397/x
  3. Step 3: Cross multiply
    980,910x = 1,331,397 × 1,331,397
  4. Step 4: Simplify right side
    980,910x = 1,772,617,971,609
  5. Step 5: Solve for x
    x = 1,772,617,971,609/980,910
  6. Step 6: Final answer
    x = 1,807,115.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.