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Finding the Third Proportional to 142,954.50 and 209,657.25

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Solution

The third proportional to 142,954.50 and 209,657.25 is: 307,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,954.50 : 209,657.25 = 209,657.25 : x
  2. Step 2: Convert to fraction form
    142,954.50/209,657.25 = 209,657.25/x
  3. Step 3: Cross multiply
    142,954.50x = 209,657.25 × 209,657.25
  4. Step 4: Simplify right side
    142,954.50x = 43,956,162,477.56
  5. Step 5: Solve for x
    x = 43,956,162,477.56/142,954.50
  6. Step 6: Final answer
    x = 307,483.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.