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Finding the Third Proportional to 285,693.75 and 609,356.25

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Solution

The third proportional to 285,693.75 and 609,356.25 is: 1,299,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,693.75 : 609,356.25 = 609,356.25 : x
  2. Step 2: Convert to fraction form
    285,693.75/609,356.25 = 609,356.25/x
  3. Step 3: Cross multiply
    285,693.75x = 609,356.25 × 609,356.25
  4. Step 4: Simplify right side
    285,693.75x = 371,315,039,414.06
  5. Step 5: Solve for x
    x = 371,315,039,414.06/285,693.75
  6. Step 6: Final answer
    x = 1,299,696.05

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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.