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Finding the Third Proportional to 285,006 and 609,540

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Solution

The third proportional to 285,006 and 609,540 is: 1,303,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,006 : 609,540 = 609,540 : x
  2. Step 2: Convert to fraction form
    285,006/609,540 = 609,540/x
  3. Step 3: Cross multiply
    285,006x = 609,540 × 609,540
  4. Step 4: Simplify right side
    285,006x = 371,539,011,600
  5. Step 5: Solve for x
    x = 371,539,011,600/285,006
  6. Step 6: Final answer
    x = 1,303,618.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.