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Finding the Third Proportional to 30,442 and 43,445

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Solution

The third proportional to 30,442 and 43,445 is: 62,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442 : 43,445 = 43,445 : x
  2. Step 2: Convert to fraction form
    30,442/43,445 = 43,445/x
  3. Step 3: Cross multiply
    30,442x = 43,445 × 43,445
  4. Step 4: Simplify right side
    30,442x = 1,887,468,025
  5. Step 5: Solve for x
    x = 1,887,468,025/30,442
  6. Step 6: Final answer
    x = 62,002.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.