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Finding the Third Proportional to 25,430 and 40,439

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Solution

The third proportional to 25,430 and 40,439 is: 64,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,430 : 40,439 = 40,439 : x
  2. Step 2: Convert to fraction form
    25,430/40,439 = 40,439/x
  3. Step 3: Cross multiply
    25,430x = 40,439 × 40,439
  4. Step 4: Simplify right side
    25,430x = 1,635,312,721
  5. Step 5: Solve for x
    x = 1,635,312,721/25,430
  6. Step 6: Final answer
    x = 64,306.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.