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Finding the Third Proportional to 155,718 and 240,583

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Solution

The third proportional to 155,718 and 240,583 is: 371,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,718 : 240,583 = 240,583 : x
  2. Step 2: Convert to fraction form
    155,718/240,583 = 240,583/x
  3. Step 3: Cross multiply
    155,718x = 240,583 × 240,583
  4. Step 4: Simplify right side
    155,718x = 57,880,179,889
  5. Step 5: Solve for x
    x = 57,880,179,889/155,718
  6. Step 6: Final answer
    x = 371,698.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.