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Finding the Third Proportional to 15,430.50 and 21,849.75

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Solution

The third proportional to 15,430.50 and 21,849.75 is: 30,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.50 : 21,849.75 = 21,849.75 : x
  2. Step 2: Convert to fraction form
    15,430.50/21,849.75 = 21,849.75/x
  3. Step 3: Cross multiply
    15,430.50x = 21,849.75 × 21,849.75
  4. Step 4: Simplify right side
    15,430.50x = 477,411,575.06
  5. Step 5: Solve for x
    x = 477,411,575.06/15,430.50
  6. Step 6: Final answer
    x = 30,939.48

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1.5x scale

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.