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Finding the Third Proportional to 103,386 and 153,132

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Solution

The third proportional to 103,386 and 153,132 is: 226,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,386 : 153,132 = 153,132 : x
  2. Step 2: Convert to fraction form
    103,386/153,132 = 153,132/x
  3. Step 3: Cross multiply
    103,386x = 153,132 × 153,132
  4. Step 4: Simplify right side
    103,386x = 23,449,409,424
  5. Step 5: Solve for x
    x = 23,449,409,424/103,386
  6. Step 6: Final answer
    x = 226,814.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.