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Finding the Third Proportional to 420,410 and 922,580

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Solution

The third proportional to 420,410 and 922,580 is: 2,024,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,410 : 922,580 = 922,580 : x
  2. Step 2: Convert to fraction form
    420,410/922,580 = 922,580/x
  3. Step 3: Cross multiply
    420,410x = 922,580 × 922,580
  4. Step 4: Simplify right side
    420,410x = 851,153,856,400
  5. Step 5: Solve for x
    x = 851,153,856,400/420,410
  6. Step 6: Final answer
    x = 2,024,580.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.