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Finding the Third Proportional to 528,649 and 790,664

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Solution

The third proportional to 528,649 and 790,664 is: 1,182,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,649 : 790,664 = 790,664 : x
  2. Step 2: Convert to fraction form
    528,649/790,664 = 790,664/x
  3. Step 3: Cross multiply
    528,649x = 790,664 × 790,664
  4. Step 4: Simplify right side
    528,649x = 625,149,560,896
  5. Step 5: Solve for x
    x = 625,149,560,896/528,649
  6. Step 6: Final answer
    x = 1,182,541.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.