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Finding the Third Proportional to 388,082 and 579,729

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Solution

The third proportional to 388,082 and 579,729 is: 866,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,082 : 579,729 = 579,729 : x
  2. Step 2: Convert to fraction form
    388,082/579,729 = 579,729/x
  3. Step 3: Cross multiply
    388,082x = 579,729 × 579,729
  4. Step 4: Simplify right side
    388,082x = 336,085,713,441
  5. Step 5: Solve for x
    x = 336,085,713,441/388,082
  6. Step 6: Final answer
    x = 866,017.27

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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.