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Finding the Third Proportional to 30,770 and 45,579

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Solution

The third proportional to 30,770 and 45,579 is: 67,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770 : 45,579 = 45,579 : x
  2. Step 2: Convert to fraction form
    30,770/45,579 = 45,579/x
  3. Step 3: Cross multiply
    30,770x = 45,579 × 45,579
  4. Step 4: Simplify right side
    30,770x = 2,077,445,241
  5. Step 5: Solve for x
    x = 2,077,445,241/30,770
  6. Step 6: Final answer
    x = 67,515.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.