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Finding the Third Proportional to 93,098 and 143,859

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Solution

The third proportional to 93,098 and 143,859 is: 222,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,098 : 143,859 = 143,859 : x
  2. Step 2: Convert to fraction form
    93,098/143,859 = 143,859/x
  3. Step 3: Cross multiply
    93,098x = 143,859 × 143,859
  4. Step 4: Simplify right side
    93,098x = 20,695,411,881
  5. Step 5: Solve for x
    x = 20,695,411,881/93,098
  6. Step 6: Final answer
    x = 222,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.