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Finding the Third Proportional to 285,696 and 609,361

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Solution

The third proportional to 285,696 and 609,361 is: 1,299,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696 : 609,361 = 609,361 : x
  2. Step 2: Convert to fraction form
    285,696/609,361 = 609,361/x
  3. Step 3: Cross multiply
    285,696x = 609,361 × 609,361
  4. Step 4: Simplify right side
    285,696x = 371,320,828,321
  5. Step 5: Solve for x
    x = 371,320,828,321/285,696
  6. Step 6: Final answer
    x = 1,299,706.08

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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.