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Finding the Third Proportional to 355,028 and 766,918

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Solution

The third proportional to 355,028 and 766,918 is: 1,656,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,028 : 766,918 = 766,918 : x
  2. Step 2: Convert to fraction form
    355,028/766,918 = 766,918/x
  3. Step 3: Cross multiply
    355,028x = 766,918 × 766,918
  4. Step 4: Simplify right side
    355,028x = 588,163,218,724
  5. Step 5: Solve for x
    x = 588,163,218,724/355,028
  6. Step 6: Final answer
    x = 1,656,667.13

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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.