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Finding the Third Proportional to 486,416 and 777,046

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Solution

The third proportional to 486,416 and 777,046 is: 1,241,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,416 : 777,046 = 777,046 : x
  2. Step 2: Convert to fraction form
    486,416/777,046 = 777,046/x
  3. Step 3: Cross multiply
    486,416x = 777,046 × 777,046
  4. Step 4: Simplify right side
    486,416x = 603,800,486,116
  5. Step 5: Solve for x
    x = 603,800,486,116/486,416
  6. Step 6: Final answer
    x = 1,241,325.30

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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.