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Finding the Third Proportional to 420,459.75 and 660,822.75

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Solution

The third proportional to 420,459.75 and 660,822.75 is: 1,038,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,459.75 : 660,822.75 = 660,822.75 : x
  2. Step 2: Convert to fraction form
    420,459.75/660,822.75 = 660,822.75/x
  3. Step 3: Cross multiply
    420,459.75x = 660,822.75 × 660,822.75
  4. Step 4: Simplify right side
    420,459.75x = 436,686,706,917.56
  5. Step 5: Solve for x
    x = 436,686,706,917.56/420,459.75
  6. Step 6: Final answer
    x = 1,038,593.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.