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Finding the Third Proportional to 139,451.63 and 287,160.19

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Solution

The third proportional to 139,451.63 and 287,160.19 is: 591,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,451.63 : 287,160.19 = 287,160.19 : x
  2. Step 2: Convert to fraction form
    139,451.63/287,160.19 = 287,160.19/x
  3. Step 3: Cross multiply
    139,451.63x = 287,160.19 × 287,160.19
  4. Step 4: Simplify right side
    139,451.63x = 82,460,973,285.04
  5. Step 5: Solve for x
    x = 82,460,973,285.04/139,451.63
  6. Step 6: Final answer
    x = 591,323.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.