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Finding the Third Proportional to 268,717 and 586,556

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Solution

The third proportional to 268,717 and 586,556 is: 1,280,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,717 : 586,556 = 586,556 : x
  2. Step 2: Convert to fraction form
    268,717/586,556 = 586,556/x
  3. Step 3: Cross multiply
    268,717x = 586,556 × 586,556
  4. Step 4: Simplify right side
    268,717x = 344,047,941,136
  5. Step 5: Solve for x
    x = 344,047,941,136/268,717
  6. Step 6: Final answer
    x = 1,280,335.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.