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Finding the Third Proportional to 388,570 and 617,863

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Solution

The third proportional to 388,570 and 617,863 is: 982,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,570 : 617,863 = 617,863 : x
  2. Step 2: Convert to fraction form
    388,570/617,863 = 617,863/x
  3. Step 3: Cross multiply
    388,570x = 617,863 × 617,863
  4. Step 4: Simplify right side
    388,570x = 381,754,686,769
  5. Step 5: Solve for x
    x = 381,754,686,769/388,570
  6. Step 6: Final answer
    x = 982,460.53

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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.