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Finding the Third Proportional to 103,859 and 148,520

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Solution

The third proportional to 103,859 and 148,520 is: 212,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,859 : 148,520 = 148,520 : x
  2. Step 2: Convert to fraction form
    103,859/148,520 = 148,520/x
  3. Step 3: Cross multiply
    103,859x = 148,520 × 148,520
  4. Step 4: Simplify right side
    103,859x = 22,058,190,400
  5. Step 5: Solve for x
    x = 22,058,190,400/103,859
  6. Step 6: Final answer
    x = 212,385.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.