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Finding the Third Proportional to 442,770 and 691,803

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Solution

The third proportional to 442,770 and 691,803 is: 1,080,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,770 : 691,803 = 691,803 : x
  2. Step 2: Convert to fraction form
    442,770/691,803 = 691,803/x
  3. Step 3: Cross multiply
    442,770x = 691,803 × 691,803
  4. Step 4: Simplify right side
    442,770x = 478,591,390,809
  5. Step 5: Solve for x
    x = 478,591,390,809/442,770
  6. Step 6: Final answer
    x = 1,080,902.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.