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Finding the Third Proportional to 155,139 and 335,203.50

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Solution

The third proportional to 155,139 and 335,203.50 is: 724,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,139 : 335,203.50 = 335,203.50 : x
  2. Step 2: Convert to fraction form
    155,139/335,203.50 = 335,203.50/x
  3. Step 3: Cross multiply
    155,139x = 335,203.50 × 335,203.50
  4. Step 4: Simplify right side
    155,139x = 112,361,386,412.25
  5. Step 5: Solve for x
    x = 112,361,386,412.25/155,139
  6. Step 6: Final answer
    x = 724,262.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.