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Finding the Third Proportional to 420,466 and 660,831

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Solution

The third proportional to 420,466 and 660,831 is: 1,038,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,466 : 660,831 = 660,831 : x
  2. Step 2: Convert to fraction form
    420,466/660,831 = 660,831/x
  3. Step 3: Cross multiply
    420,466x = 660,831 × 660,831
  4. Step 4: Simplify right side
    420,466x = 436,697,610,561
  5. Step 5: Solve for x
    x = 436,697,610,561/420,466
  6. Step 6: Final answer
    x = 1,038,603.86

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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.