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Finding the Third Proportional to 127,513 and 278,353

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Solution

The third proportional to 127,513 and 278,353 is: 607,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,513 : 278,353 = 278,353 : x
  2. Step 2: Convert to fraction form
    127,513/278,353 = 278,353/x
  3. Step 3: Cross multiply
    127,513x = 278,353 × 278,353
  4. Step 4: Simplify right side
    127,513x = 77,480,392,609
  5. Step 5: Solve for x
    x = 77,480,392,609/127,513
  6. Step 6: Final answer
    x = 607,627.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.