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Finding the Third Proportional to 290,045 and 624,522

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Solution

The third proportional to 290,045 and 624,522 is: 1,344,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,045 : 624,522 = 624,522 : x
  2. Step 2: Convert to fraction form
    290,045/624,522 = 624,522/x
  3. Step 3: Cross multiply
    290,045x = 624,522 × 624,522
  4. Step 4: Simplify right side
    290,045x = 390,027,728,484
  5. Step 5: Solve for x
    x = 390,027,728,484/290,045
  6. Step 6: Final answer
    x = 1,344,714.54

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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.