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Finding the Third Proportional to 376,710 and 815,628

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Solution

The third proportional to 376,710 and 815,628 is: 1,765,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,710 : 815,628 = 815,628 : x
  2. Step 2: Convert to fraction form
    376,710/815,628 = 815,628/x
  3. Step 3: Cross multiply
    376,710x = 815,628 × 815,628
  4. Step 4: Simplify right side
    376,710x = 665,249,034,384
  5. Step 5: Solve for x
    x = 665,249,034,384/376,710
  6. Step 6: Final answer
    x = 1,765,944.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.