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Finding the Third Proportional to 377,776 and 816,446

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Solution

The third proportional to 377,776 and 816,446 is: 1,764,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,776 : 816,446 = 816,446 : x
  2. Step 2: Convert to fraction form
    377,776/816,446 = 816,446/x
  3. Step 3: Cross multiply
    377,776x = 816,446 × 816,446
  4. Step 4: Simplify right side
    377,776x = 666,584,070,916
  5. Step 5: Solve for x
    x = 666,584,070,916/377,776
  6. Step 6: Final answer
    x = 1,764,495.55

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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.