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Finding the Third Proportional to 129,155 and 278,697

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Solution

The third proportional to 129,155 and 278,697 is: 601,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,155 : 278,697 = 278,697 : x
  2. Step 2: Convert to fraction form
    129,155/278,697 = 278,697/x
  3. Step 3: Cross multiply
    129,155x = 278,697 × 278,697
  4. Step 4: Simplify right side
    129,155x = 77,672,017,809
  5. Step 5: Solve for x
    x = 77,672,017,809/129,155
  6. Step 6: Final answer
    x = 601,386.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.