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Finding the Third Proportional to 355,648 and 777,687

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Solution

The third proportional to 355,648 and 777,687 is: 1,700,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,648 : 777,687 = 777,687 : x
  2. Step 2: Convert to fraction form
    355,648/777,687 = 777,687/x
  3. Step 3: Cross multiply
    355,648x = 777,687 × 777,687
  4. Step 4: Simplify right side
    355,648x = 604,797,069,969
  5. Step 5: Solve for x
    x = 604,797,069,969/355,648
  6. Step 6: Final answer
    x = 1,700,549.62

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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.