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Finding the Third Proportional to 12,020 and 15,638

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Solution

The third proportional to 12,020 and 15,638 is: 20,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020 : 15,638 = 15,638 : x
  2. Step 2: Convert to fraction form
    12,020/15,638 = 15,638/x
  3. Step 3: Cross multiply
    12,020x = 15,638 × 15,638
  4. Step 4: Simplify right side
    12,020x = 244,547,044
  5. Step 5: Solve for x
    x = 244,547,044/12,020
  6. Step 6: Final answer
    x = 20,345.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.