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Finding the Third Proportional to 114,428 and 239,319

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Solution

The third proportional to 114,428 and 239,319 is: 500,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428 : 239,319 = 239,319 : x
  2. Step 2: Convert to fraction form
    114,428/239,319 = 239,319/x
  3. Step 3: Cross multiply
    114,428x = 239,319 × 239,319
  4. Step 4: Simplify right side
    114,428x = 57,273,583,761
  5. Step 5: Solve for x
    x = 57,273,583,761/114,428
  6. Step 6: Final answer
    x = 500,520.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.