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Finding the Third Proportional to 550,428 and 775,134

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Solution

The third proportional to 550,428 and 775,134 is: 1,091,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,428 : 775,134 = 775,134 : x
  2. Step 2: Convert to fraction form
    550,428/775,134 = 775,134/x
  3. Step 3: Cross multiply
    550,428x = 775,134 × 775,134
  4. Step 4: Simplify right side
    550,428x = 600,832,717,956
  5. Step 5: Solve for x
    x = 600,832,717,956/550,428
  6. Step 6: Final answer
    x = 1,091,573.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.