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Finding the Third Proportional to 15,780 and 22,430

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Solution

The third proportional to 15,780 and 22,430 is: 31,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780 : 22,430 = 22,430 : x
  2. Step 2: Convert to fraction form
    15,780/22,430 = 22,430/x
  3. Step 3: Cross multiply
    15,780x = 22,430 × 22,430
  4. Step 4: Simplify right side
    15,780x = 503,104,900
  5. Step 5: Solve for x
    x = 503,104,900/15,780
  6. Step 6: Final answer
    x = 31,882.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.