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Finding the Third Proportional to 420,740 and 918,580

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Solution

The third proportional to 420,740 and 918,580 is: 2,005,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,740 : 918,580 = 918,580 : x
  2. Step 2: Convert to fraction form
    420,740/918,580 = 918,580/x
  3. Step 3: Cross multiply
    420,740x = 918,580 × 918,580
  4. Step 4: Simplify right side
    420,740x = 843,789,216,400
  5. Step 5: Solve for x
    x = 843,789,216,400/420,740
  6. Step 6: Final answer
    x = 2,005,488.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.