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Finding the Third Proportional to 712,813 and 942,211

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Solution

The third proportional to 712,813 and 942,211 is: 1,245,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,813 : 942,211 = 942,211 : x
  2. Step 2: Convert to fraction form
    712,813/942,211 = 942,211/x
  3. Step 3: Cross multiply
    712,813x = 942,211 × 942,211
  4. Step 4: Simplify right side
    712,813x = 887,761,568,521
  5. Step 5: Solve for x
    x = 887,761,568,521/712,813
  6. Step 6: Final answer
    x = 1,245,434.03

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.