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Finding the Third Proportional to 360,642 and 779,091

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Solution

The third proportional to 360,642 and 779,091 is: 1,683,061.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,642 : 779,091 = 779,091 : x
  2. Step 2: Convert to fraction form
    360,642/779,091 = 779,091/x
  3. Step 3: Cross multiply
    360,642x = 779,091 × 779,091
  4. Step 4: Simplify right side
    360,642x = 606,982,786,281
  5. Step 5: Solve for x
    x = 606,982,786,281/360,642
  6. Step 6: Final answer
    x = 1,683,061.83

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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.