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Finding the Third Proportional to 30,239 and 45,389

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Solution

The third proportional to 30,239 and 45,389 is: 68,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,239 : 45,389 = 45,389 : x
  2. Step 2: Convert to fraction form
    30,239/45,389 = 45,389/x
  3. Step 3: Cross multiply
    30,239x = 45,389 × 45,389
  4. Step 4: Simplify right side
    30,239x = 2,060,161,321
  5. Step 5: Solve for x
    x = 2,060,161,321/30,239
  6. Step 6: Final answer
    x = 68,129.28

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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.