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Finding the Third Proportional to 154,426 and 232,010

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Solution

The third proportional to 154,426 and 232,010 is: 348,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,426 : 232,010 = 232,010 : x
  2. Step 2: Convert to fraction form
    154,426/232,010 = 232,010/x
  3. Step 3: Cross multiply
    154,426x = 232,010 × 232,010
  4. Step 4: Simplify right side
    154,426x = 53,828,640,100
  5. Step 5: Solve for x
    x = 53,828,640,100/154,426
  6. Step 6: Final answer
    x = 348,572.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.