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Finding the Third Proportional to 388,062 and 579,699

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Solution

The third proportional to 388,062 and 579,699 is: 865,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,062 : 579,699 = 579,699 : x
  2. Step 2: Convert to fraction form
    388,062/579,699 = 579,699/x
  3. Step 3: Cross multiply
    388,062x = 579,699 × 579,699
  4. Step 4: Simplify right side
    388,062x = 336,050,930,601
  5. Step 5: Solve for x
    x = 336,050,930,601/388,062
  6. Step 6: Final answer
    x = 865,972.27

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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.