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Finding the Third Proportional to 434,892.75 and 665,256.75

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Solution

The third proportional to 434,892.75 and 665,256.75 is: 1,017,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,892.75 : 665,256.75 = 665,256.75 : x
  2. Step 2: Convert to fraction form
    434,892.75/665,256.75 = 665,256.75/x
  3. Step 3: Cross multiply
    434,892.75x = 665,256.75 × 665,256.75
  4. Step 4: Simplify right side
    434,892.75x = 442,566,543,420.56
  5. Step 5: Solve for x
    x = 442,566,543,420.56/434,892.75
  6. Step 6: Final answer
    x = 1,017,645.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.