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Finding the Third Proportional to 125,632 and 290,608

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Solution

The third proportional to 125,632 and 290,608 is: 672,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,632 : 290,608 = 290,608 : x
  2. Step 2: Convert to fraction form
    125,632/290,608 = 290,608/x
  3. Step 3: Cross multiply
    125,632x = 290,608 × 290,608
  4. Step 4: Simplify right side
    125,632x = 84,453,009,664
  5. Step 5: Solve for x
    x = 84,453,009,664/125,632
  6. Step 6: Final answer
    x = 672,225.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.