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Finding the Third Proportional to 550,658 and 775,458

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Solution

The third proportional to 550,658 and 775,458 is: 1,092,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,658 : 775,458 = 775,458 : x
  2. Step 2: Convert to fraction form
    550,658/775,458 = 775,458/x
  3. Step 3: Cross multiply
    550,658x = 775,458 × 775,458
  4. Step 4: Simplify right side
    550,658x = 601,335,109,764
  5. Step 5: Solve for x
    x = 601,335,109,764/550,658
  6. Step 6: Final answer
    x = 1,092,030.10

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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.