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Finding the Third Proportional to 42,770 and 93,073

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Solution

The third proportional to 42,770 and 93,073 is: 202,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770 : 93,073 = 93,073 : x
  2. Step 2: Convert to fraction form
    42,770/93,073 = 93,073/x
  3. Step 3: Cross multiply
    42,770x = 93,073 × 93,073
  4. Step 4: Simplify right side
    42,770x = 8,662,583,329
  5. Step 5: Solve for x
    x = 8,662,583,329/42,770
  6. Step 6: Final answer
    x = 202,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.