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Finding the Third Proportional to 357,642 and 776,796

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Solution

The third proportional to 357,642 and 776,796 is: 1,687,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,642 : 776,796 = 776,796 : x
  2. Step 2: Convert to fraction form
    357,642/776,796 = 776,796/x
  3. Step 3: Cross multiply
    357,642x = 776,796 × 776,796
  4. Step 4: Simplify right side
    357,642x = 603,412,025,616
  5. Step 5: Solve for x
    x = 603,412,025,616/357,642
  6. Step 6: Final answer
    x = 1,687,195.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.