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Finding the Third Proportional to 42,770 and 94,720

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Solution

The third proportional to 42,770 and 94,720 is: 209,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770 : 94,720 = 94,720 : x
  2. Step 2: Convert to fraction form
    42,770/94,720 = 94,720/x
  3. Step 3: Cross multiply
    42,770x = 94,720 × 94,720
  4. Step 4: Simplify right side
    42,770x = 8,971,878,400
  5. Step 5: Solve for x
    x = 8,971,878,400/42,770
  6. Step 6: Final answer
    x = 209,770.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.