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Finding the Third Proportional to 290,664 and 625,852

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Solution

The third proportional to 290,664 and 625,852 is: 1,347,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,664 : 625,852 = 625,852 : x
  2. Step 2: Convert to fraction form
    290,664/625,852 = 625,852/x
  3. Step 3: Cross multiply
    290,664x = 625,852 × 625,852
  4. Step 4: Simplify right side
    290,664x = 391,690,725,904
  5. Step 5: Solve for x
    x = 391,690,725,904/290,664
  6. Step 6: Final answer
    x = 1,347,572.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.