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Finding the Third Proportional to 420,632 and 917,390

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Solution

The third proportional to 420,632 and 917,390 is: 2,000,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,632 : 917,390 = 917,390 : x
  2. Step 2: Convert to fraction form
    420,632/917,390 = 917,390/x
  3. Step 3: Cross multiply
    420,632x = 917,390 × 917,390
  4. Step 4: Simplify right side
    420,632x = 841,604,412,100
  5. Step 5: Solve for x
    x = 841,604,412,100/420,632
  6. Step 6: Final answer
    x = 2,000,809.29

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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.