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Finding the Third Proportional to 528,858 and 771,132

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Solution

The third proportional to 528,858 and 771,132 is: 1,124,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,858 : 771,132 = 771,132 : x
  2. Step 2: Convert to fraction form
    528,858/771,132 = 771,132/x
  3. Step 3: Cross multiply
    528,858x = 771,132 × 771,132
  4. Step 4: Simplify right side
    528,858x = 594,644,561,424
  5. Step 5: Solve for x
    x = 594,644,561,424/528,858
  6. Step 6: Final answer
    x = 1,124,393.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.