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Finding the Third Proportional to 113,302.13 and 158,828.06

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Solution

The third proportional to 113,302.13 and 158,828.06 is: 222,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,302.13 : 158,828.06 = 158,828.06 : x
  2. Step 2: Convert to fraction form
    113,302.13/158,828.06 = 158,828.06/x
  3. Step 3: Cross multiply
    113,302.13x = 158,828.06 × 158,828.06
  4. Step 4: Simplify right side
    113,302.13x = 25,226,353,437.50
  5. Step 5: Solve for x
    x = 25,226,353,437.50/113,302.13
  6. Step 6: Final answer
    x = 222,646.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.