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Finding the Third Proportional to 42,622 and 93,553

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Solution

The third proportional to 42,622 and 93,553 is: 205,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,622 : 93,553 = 93,553 : x
  2. Step 2: Convert to fraction form
    42,622/93,553 = 93,553/x
  3. Step 3: Cross multiply
    42,622x = 93,553 × 93,553
  4. Step 4: Simplify right side
    42,622x = 8,752,163,809
  5. Step 5: Solve for x
    x = 8,752,163,809/42,622
  6. Step 6: Final answer
    x = 205,343.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.