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Finding the Third Proportional to 388,034 and 579,661

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Solution

The third proportional to 388,034 and 579,661 is: 865,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,034 : 579,661 = 579,661 : x
  2. Step 2: Convert to fraction form
    388,034/579,661 = 579,661/x
  3. Step 3: Cross multiply
    388,034x = 579,661 × 579,661
  4. Step 4: Simplify right side
    388,034x = 336,006,874,921
  5. Step 5: Solve for x
    x = 336,006,874,921/388,034
  6. Step 6: Final answer
    x = 865,921.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.