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Finding the Third Proportional to 103,853 and 148,511

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Solution

The third proportional to 103,853 and 148,511 is: 212,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,853 : 148,511 = 148,511 : x
  2. Step 2: Convert to fraction form
    103,853/148,511 = 148,511/x
  3. Step 3: Cross multiply
    103,853x = 148,511 × 148,511
  4. Step 4: Simplify right side
    103,853x = 22,055,517,121
  5. Step 5: Solve for x
    x = 22,055,517,121/103,853
  6. Step 6: Final answer
    x = 212,372.46

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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.