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Finding the Third Proportional to 359,739 and 777,108

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Solution

The third proportional to 359,739 and 777,108 is: 1,678,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,739 : 777,108 = 777,108 : x
  2. Step 2: Convert to fraction form
    359,739/777,108 = 777,108/x
  3. Step 3: Cross multiply
    359,739x = 777,108 × 777,108
  4. Step 4: Simplify right side
    359,739x = 603,896,843,664
  5. Step 5: Solve for x
    x = 603,896,843,664/359,739
  6. Step 6: Final answer
    x = 1,678,708.30

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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.