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Finding the Third Proportional to 420,440 and 903,088

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Solution

The third proportional to 420,440 and 903,088 is: 1,939,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,440 : 903,088 = 903,088 : x
  2. Step 2: Convert to fraction form
    420,440/903,088 = 903,088/x
  3. Step 3: Cross multiply
    420,440x = 903,088 × 903,088
  4. Step 4: Simplify right side
    420,440x = 815,567,935,744
  5. Step 5: Solve for x
    x = 815,567,935,744/420,440
  6. Step 6: Final answer
    x = 1,939,796.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.