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Finding the Third Proportional to 285,328 and 607,520

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Solution

The third proportional to 285,328 and 607,520 is: 1,293,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,328 : 607,520 = 607,520 : x
  2. Step 2: Convert to fraction form
    285,328/607,520 = 607,520/x
  3. Step 3: Cross multiply
    285,328x = 607,520 × 607,520
  4. Step 4: Simplify right side
    285,328x = 369,080,550,400
  5. Step 5: Solve for x
    x = 369,080,550,400/285,328
  6. Step 6: Final answer
    x = 1,293,530.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.