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Finding the Third Proportional to 291,918 and 628,854

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Solution

The third proportional to 291,918 and 628,854 is: 1,354,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,918 : 628,854 = 628,854 : x
  2. Step 2: Convert to fraction form
    291,918/628,854 = 628,854/x
  3. Step 3: Cross multiply
    291,918x = 628,854 × 628,854
  4. Step 4: Simplify right side
    291,918x = 395,457,353,316
  5. Step 5: Solve for x
    x = 395,457,353,316/291,918
  6. Step 6: Final answer
    x = 1,354,686.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.