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Finding the Third Proportional to 486,558 and 777,276

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Solution

The third proportional to 486,558 and 777,276 is: 1,241,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,558 : 777,276 = 777,276 : x
  2. Step 2: Convert to fraction form
    486,558/777,276 = 777,276/x
  3. Step 3: Cross multiply
    486,558x = 777,276 × 777,276
  4. Step 4: Simplify right side
    486,558x = 604,157,980,176
  5. Step 5: Solve for x
    x = 604,157,980,176/486,558
  6. Step 6: Final answer
    x = 1,241,697.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.