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Finding the Third Proportional to 12,528 and 19,217.25

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Solution

The third proportional to 12,528 and 19,217.25 is: 29,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528 : 19,217.25 = 19,217.25 : x
  2. Step 2: Convert to fraction form
    12,528/19,217.25 = 19,217.25/x
  3. Step 3: Cross multiply
    12,528x = 19,217.25 × 19,217.25
  4. Step 4: Simplify right side
    12,528x = 369,302,697.56
  5. Step 5: Solve for x
    x = 369,302,697.56/12,528
  6. Step 6: Final answer
    x = 29,478.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.