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Finding the Third Proportional to 142,993 and 304,985

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Solution

The third proportional to 142,993 and 304,985 is: 650,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993 : 304,985 = 304,985 : x
  2. Step 2: Convert to fraction form
    142,993/304,985 = 304,985/x
  3. Step 3: Cross multiply
    142,993x = 304,985 × 304,985
  4. Step 4: Simplify right side
    142,993x = 93,015,850,225
  5. Step 5: Solve for x
    x = 93,015,850,225/142,993
  6. Step 6: Final answer
    x = 650,492.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.