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Finding the Third Proportional to 127,296 and 278,784

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Solution

The third proportional to 127,296 and 278,784 is: 610,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,296 : 278,784 = 278,784 : x
  2. Step 2: Convert to fraction form
    127,296/278,784 = 278,784/x
  3. Step 3: Cross multiply
    127,296x = 278,784 × 278,784
  4. Step 4: Simplify right side
    127,296x = 77,720,518,656
  5. Step 5: Solve for x
    x = 77,720,518,656/127,296
  6. Step 6: Final answer
    x = 610,549.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.