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Finding the Third Proportional to 102,129.75 and 218,290.50

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Solution

The third proportional to 102,129.75 and 218,290.50 is: 466,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.75 : 218,290.50 = 218,290.50 : x
  2. Step 2: Convert to fraction form
    102,129.75/218,290.50 = 218,290.50/x
  3. Step 3: Cross multiply
    102,129.75x = 218,290.50 × 218,290.50
  4. Step 4: Simplify right side
    102,129.75x = 47,650,742,390.25
  5. Step 5: Solve for x
    x = 47,650,742,390.25/102,129.75
  6. Step 6: Final answer
    x = 466,570.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.