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Finding the Third Proportional to 422,386 and 919,130

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Solution

The third proportional to 422,386 and 919,130 is: 2,000,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,386 : 919,130 = 919,130 : x
  2. Step 2: Convert to fraction form
    422,386/919,130 = 919,130/x
  3. Step 3: Cross multiply
    422,386x = 919,130 × 919,130
  4. Step 4: Simplify right side
    422,386x = 844,799,956,900
  5. Step 5: Solve for x
    x = 844,799,956,900/422,386
  6. Step 6: Final answer
    x = 2,000,066.19

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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.