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Finding the Third Proportional to 285,570 and 588,420

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Solution

The third proportional to 285,570 and 588,420 is: 1,212,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,570 : 588,420 = 588,420 : x
  2. Step 2: Convert to fraction form
    285,570/588,420 = 588,420/x
  3. Step 3: Cross multiply
    285,570x = 588,420 × 588,420
  4. Step 4: Simplify right side
    285,570x = 346,238,096,400
  5. Step 5: Solve for x
    x = 346,238,096,400/285,570
  6. Step 6: Final answer
    x = 1,212,445.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.