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Finding the Third Proportional to 420,559 and 660,963

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Solution

The third proportional to 420,559 and 660,963 is: 1,038,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,559 : 660,963 = 660,963 : x
  2. Step 2: Convert to fraction form
    420,559/660,963 = 660,963/x
  3. Step 3: Cross multiply
    420,559x = 660,963 × 660,963
  4. Step 4: Simplify right side
    420,559x = 436,872,087,369
  5. Step 5: Solve for x
    x = 436,872,087,369/420,559
  6. Step 6: Final answer
    x = 1,038,789.06

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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.