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Finding the Third Proportional to 359,640 and 777,600

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Solution

The third proportional to 359,640 and 777,600 is: 1,681,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,640 : 777,600 = 777,600 : x
  2. Step 2: Convert to fraction form
    359,640/777,600 = 777,600/x
  3. Step 3: Cross multiply
    359,640x = 777,600 × 777,600
  4. Step 4: Simplify right side
    359,640x = 604,661,760,000
  5. Step 5: Solve for x
    x = 604,661,760,000/359,640
  6. Step 6: Final answer
    x = 1,681,297.30

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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.