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Finding the Third Proportional to 379,838.81 and 579,404.81

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Solution

The third proportional to 379,838.81 and 579,404.81 is: 883,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,838.81 : 579,404.81 = 579,404.81 : x
  2. Step 2: Convert to fraction form
    379,838.81/579,404.81 = 579,404.81/x
  3. Step 3: Cross multiply
    379,838.81x = 579,404.81 × 579,404.81
  4. Step 4: Simplify right side
    379,838.81x = 335,709,936,748.16
  5. Step 5: Solve for x
    x = 335,709,936,748.16/379,838.81
  6. Step 6: Final answer
    x = 883,822.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.