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Finding the Third Proportional to 426,770 and 660,765

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Solution

The third proportional to 426,770 and 660,765 is: 1,023,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,770 : 660,765 = 660,765 : x
  2. Step 2: Convert to fraction form
    426,770/660,765 = 660,765/x
  3. Step 3: Cross multiply
    426,770x = 660,765 × 660,765
  4. Step 4: Simplify right side
    426,770x = 436,610,385,225
  5. Step 5: Solve for x
    x = 436,610,385,225/426,770
  6. Step 6: Final answer
    x = 1,023,057.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.