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Finding the Third Proportional to 132,147 and 290,430

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Solution

The third proportional to 132,147 and 290,430 is: 638,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147 : 290,430 = 290,430 : x
  2. Step 2: Convert to fraction form
    132,147/290,430 = 290,430/x
  3. Step 3: Cross multiply
    132,147x = 290,430 × 290,430
  4. Step 4: Simplify right side
    132,147x = 84,349,584,900
  5. Step 5: Solve for x
    x = 84,349,584,900/132,147
  6. Step 6: Final answer
    x = 638,301.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.