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Finding the Third Proportional to 355,578 and 777,576

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Solution

The third proportional to 355,578 and 777,576 is: 1,700,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,578 : 777,576 = 777,576 : x
  2. Step 2: Convert to fraction form
    355,578/777,576 = 777,576/x
  3. Step 3: Cross multiply
    355,578x = 777,576 × 777,576
  4. Step 4: Simplify right side
    355,578x = 604,624,435,776
  5. Step 5: Solve for x
    x = 604,624,435,776/355,578
  6. Step 6: Final answer
    x = 1,700,398.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.