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Finding the Third Proportional to 146,502 and 310,989

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Solution

The third proportional to 146,502 and 310,989 is: 660,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502 : 310,989 = 310,989 : x
  2. Step 2: Convert to fraction form
    146,502/310,989 = 310,989/x
  3. Step 3: Cross multiply
    146,502x = 310,989 × 310,989
  4. Step 4: Simplify right side
    146,502x = 96,714,158,121
  5. Step 5: Solve for x
    x = 96,714,158,121/146,502
  6. Step 6: Final answer
    x = 660,155.89

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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.