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Finding the Third Proportional to 420,730 and 917,608

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Solution

The third proportional to 420,730 and 917,608 is: 2,001,294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,730 : 917,608 = 917,608 : x
  2. Step 2: Convert to fraction form
    420,730/917,608 = 917,608/x
  3. Step 3: Cross multiply
    420,730x = 917,608 × 917,608
  4. Step 4: Simplify right side
    420,730x = 842,004,441,664
  5. Step 5: Solve for x
    x = 842,004,441,664/420,730
  6. Step 6: Final answer
    x = 2,001,294.04

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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.