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Finding the Third Proportional to 270,777.38 and 579,981.38

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Solution

The third proportional to 270,777.38 and 579,981.38 is: 1,242,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,777.38 : 579,981.38 = 579,981.38 : x
  2. Step 2: Convert to fraction form
    270,777.38/579,981.38 = 579,981.38/x
  3. Step 3: Cross multiply
    270,777.38x = 579,981.38 × 579,981.38
  4. Step 4: Simplify right side
    270,777.38x = 336,378,395,346.89
  5. Step 5: Solve for x
    x = 336,378,395,346.89/270,777.38
  6. Step 6: Final answer
    x = 1,242,269.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.