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Finding the Third Proportional to 141,324 and 289,128

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Solution

The third proportional to 141,324 and 289,128 is: 591,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,324 : 289,128 = 289,128 : x
  2. Step 2: Convert to fraction form
    141,324/289,128 = 289,128/x
  3. Step 3: Cross multiply
    141,324x = 289,128 × 289,128
  4. Step 4: Simplify right side
    141,324x = 83,595,000,384
  5. Step 5: Solve for x
    x = 83,595,000,384/141,324
  6. Step 6: Final answer
    x = 591,513.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.