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Finding the Third Proportional to 354,578 and 765,991

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Solution

The third proportional to 354,578 and 765,991 is: 1,654,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,578 : 765,991 = 765,991 : x
  2. Step 2: Convert to fraction form
    354,578/765,991 = 765,991/x
  3. Step 3: Cross multiply
    354,578x = 765,991 × 765,991
  4. Step 4: Simplify right side
    354,578x = 586,742,212,081
  5. Step 5: Solve for x
    x = 586,742,212,081/354,578
  6. Step 6: Final answer
    x = 1,654,762.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.