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Finding the Third Proportional to 388,548 and 617,830

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Solution

The third proportional to 388,548 and 617,830 is: 982,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,548 : 617,830 = 617,830 : x
  2. Step 2: Convert to fraction form
    388,548/617,830 = 617,830/x
  3. Step 3: Cross multiply
    388,548x = 617,830 × 617,830
  4. Step 4: Simplify right side
    388,548x = 381,713,908,900
  5. Step 5: Solve for x
    x = 381,713,908,900/388,548
  6. Step 6: Final answer
    x = 982,411.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.