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Finding the Third Proportional to 66,442 and 145,342

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Solution

The third proportional to 66,442 and 145,342 is: 317,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,442 : 145,342 = 145,342 : x
  2. Step 2: Convert to fraction form
    66,442/145,342 = 145,342/x
  3. Step 3: Cross multiply
    66,442x = 145,342 × 145,342
  4. Step 4: Simplify right side
    66,442x = 21,124,296,964
  5. Step 5: Solve for x
    x = 21,124,296,964/66,442
  6. Step 6: Final answer
    x = 317,935.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.