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Finding the Third Proportional to 375,533 and 777,311

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Solution

The third proportional to 375,533 and 777,311 is: 1,608,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,533 : 777,311 = 777,311 : x
  2. Step 2: Convert to fraction form
    375,533/777,311 = 777,311/x
  3. Step 3: Cross multiply
    375,533x = 777,311 × 777,311
  4. Step 4: Simplify right side
    375,533x = 604,212,390,721
  5. Step 5: Solve for x
    x = 604,212,390,721/375,533
  6. Step 6: Final answer
    x = 1,608,946.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.