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Finding the Third Proportional to 30,438 and 45,730

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Solution

The third proportional to 30,438 and 45,730 is: 68,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 45,730 = 45,730 : x
  2. Step 2: Convert to fraction form
    30,438/45,730 = 45,730/x
  3. Step 3: Cross multiply
    30,438x = 45,730 × 45,730
  4. Step 4: Simplify right side
    30,438x = 2,091,232,900
  5. Step 5: Solve for x
    x = 2,091,232,900/30,438
  6. Step 6: Final answer
    x = 68,704.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.