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Finding the Third Proportional to 66,146 and 145,462

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Solution

The third proportional to 66,146 and 145,462 is: 319,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,146 : 145,462 = 145,462 : x
  2. Step 2: Convert to fraction form
    66,146/145,462 = 145,462/x
  3. Step 3: Cross multiply
    66,146x = 145,462 × 145,462
  4. Step 4: Simplify right side
    66,146x = 21,159,193,444
  5. Step 5: Solve for x
    x = 21,159,193,444/66,146
  6. Step 6: Final answer
    x = 319,886.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.