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Finding the Third Proportional to 286,026 and 420,777

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Solution

The third proportional to 286,026 and 420,777 is: 619,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,026 : 420,777 = 420,777 : x
  2. Step 2: Convert to fraction form
    286,026/420,777 = 420,777/x
  3. Step 3: Cross multiply
    286,026x = 420,777 × 420,777
  4. Step 4: Simplify right side
    286,026x = 177,053,283,729
  5. Step 5: Solve for x
    x = 177,053,283,729/286,026
  6. Step 6: Final answer
    x = 619,011.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.