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Finding the Third Proportional to 146,871 and 310,887

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Solution

The third proportional to 146,871 and 310,887 is: 658,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,871 : 310,887 = 310,887 : x
  2. Step 2: Convert to fraction form
    146,871/310,887 = 310,887/x
  3. Step 3: Cross multiply
    146,871x = 310,887 × 310,887
  4. Step 4: Simplify right side
    146,871x = 96,650,726,769
  5. Step 5: Solve for x
    x = 96,650,726,769/146,871
  6. Step 6: Final answer
    x = 658,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.