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Finding the Third Proportional to 290,288 and 426,892

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Solution

The third proportional to 290,288 and 426,892 is: 627,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,288 : 426,892 = 426,892 : x
  2. Step 2: Convert to fraction form
    290,288/426,892 = 426,892/x
  3. Step 3: Cross multiply
    290,288x = 426,892 × 426,892
  4. Step 4: Simplify right side
    290,288x = 182,236,779,664
  5. Step 5: Solve for x
    x = 182,236,779,664/290,288
  6. Step 6: Final answer
    x = 627,779.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.