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Finding the Third Proportional to 142,116.19 and 207,628.31

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Solution

The third proportional to 142,116.19 and 207,628.31 is: 303,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.19 : 207,628.31 = 207,628.31 : x
  2. Step 2: Convert to fraction form
    142,116.19/207,628.31 = 207,628.31/x
  3. Step 3: Cross multiply
    142,116.19x = 207,628.31 × 207,628.31
  4. Step 4: Simplify right side
    142,116.19x = 43,109,516,151.60
  5. Step 5: Solve for x
    x = 43,109,516,151.60/142,116.19
  6. Step 6: Final answer
    x = 303,339.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.