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Finding the Third Proportional to 357,407 and 766,642

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Solution

The third proportional to 357,407 and 766,642 is: 1,644,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,407 : 766,642 = 766,642 : x
  2. Step 2: Convert to fraction form
    357,407/766,642 = 766,642/x
  3. Step 3: Cross multiply
    357,407x = 766,642 × 766,642
  4. Step 4: Simplify right side
    357,407x = 587,739,956,164
  5. Step 5: Solve for x
    x = 587,739,956,164/357,407
  6. Step 6: Final answer
    x = 1,644,455.64

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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.