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Finding the Third Proportional to 423,619 and 660,437

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Solution

The third proportional to 423,619 and 660,437 is: 1,029,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,619 : 660,437 = 660,437 : x
  2. Step 2: Convert to fraction form
    423,619/660,437 = 660,437/x
  3. Step 3: Cross multiply
    423,619x = 660,437 × 660,437
  4. Step 4: Simplify right side
    423,619x = 436,177,030,969
  5. Step 5: Solve for x
    x = 436,177,030,969/423,619
  6. Step 6: Final answer
    x = 1,029,644.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.