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Finding the Third Proportional to 103,430 and 158,153

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Solution

The third proportional to 103,430 and 158,153 is: 241,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,430 : 158,153 = 158,153 : x
  2. Step 2: Convert to fraction form
    103,430/158,153 = 158,153/x
  3. Step 3: Cross multiply
    103,430x = 158,153 × 158,153
  4. Step 4: Simplify right side
    103,430x = 25,012,371,409
  5. Step 5: Solve for x
    x = 25,012,371,409/103,430
  6. Step 6: Final answer
    x = 241,828.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.