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Finding the Third Proportional to 418,008 and 910,608

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Solution

The third proportional to 418,008 and 910,608 is: 1,983,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,008 : 910,608 = 910,608 : x
  2. Step 2: Convert to fraction form
    418,008/910,608 = 910,608/x
  3. Step 3: Cross multiply
    418,008x = 910,608 × 910,608
  4. Step 4: Simplify right side
    418,008x = 829,206,929,664
  5. Step 5: Solve for x
    x = 829,206,929,664/418,008
  6. Step 6: Final answer
    x = 1,983,710.67

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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.