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Finding the Third Proportional to 128,973.94 and 144,966.38

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Solution

The third proportional to 128,973.94 and 144,966.38 is: 162,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,973.94 : 144,966.38 = 144,966.38 : x
  2. Step 2: Convert to fraction form
    128,973.94/144,966.38 = 144,966.38/x
  3. Step 3: Cross multiply
    128,973.94x = 144,966.38 × 144,966.38
  4. Step 4: Simplify right side
    128,973.94x = 21,015,249,880.64
  5. Step 5: Solve for x
    x = 21,015,249,880.64/128,973.94
  6. Step 6: Final answer
    x = 162,941.83

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.