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Finding the Third Proportional to 418,932 and 776,628

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Solution

The third proportional to 418,932 and 776,628 is: 1,439,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,932 : 776,628 = 776,628 : x
  2. Step 2: Convert to fraction form
    418,932/776,628 = 776,628/x
  3. Step 3: Cross multiply
    418,932x = 776,628 × 776,628
  4. Step 4: Simplify right side
    418,932x = 603,151,050,384
  5. Step 5: Solve for x
    x = 603,151,050,384/418,932
  6. Step 6: Final answer
    x = 1,439,734.97

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.